A uniform pyramid and a uniform prism of same height lie with their base on the surface. Which is more stable?

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A uniform pyramid and a uniform prism of same height lie with their base on the surface. Which is more stable?

A. Pyramid

B. Prism

C. Both equally stable

D. None of the above

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Minimum potential energy of a system will be in the position of

A. Stable equilibrium

B. Unstable equilibrium

C. Neutral equilibrium

D. All of the above

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Moment of inertia of a squares of side b about an axis through its centre of gravity, is

A. b³/4

B. b⁴/12

C. b⁴/3

D. b⁴/8

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The horizontal reaction at the support A of the structure shown in below figure, is

A. Zero

B. 2 t

C. 3 t

D. 1 t

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A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/sec. The work required to stop the hoop is

A. 2 J

B. 4 J

C. 6 J

D. 8 J

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If two forces P and Q (P > Q) act on the same straight line but in opposite direction, their resultant, is

A. P + Q

B. P/Q

C. Q/P

D. P - Q

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A ball which is thrown upwards, returns to the ground describing a parabolic path during its flight

A. Vertical component of velocity remains constant

B. Horizontal component of velocity remains constant

C. Speed of the ball remains constant

D. Kinetic energy of the ball remains constant

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In simple harmonic motion, acceleration of a particle is proportional to

A. Rate of change of velocity

B. Displacement

C. Velocity

D. Direction

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A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about (Assume g = 10 m/sec²)

A. 1/4

B. 1/3

C. 1/2

D. 1/5

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The ratio of the ranges on the inclined plane with motion upward and with motion downward for a given velocity, angle of projection will be

A. sin (α + β)/sin (α - β)

B. sin (α - β)/sin (α + β)

C. cos (α - β)/cos (α + β)

D. tan (α - β)/tan (α + β)

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At a given instant ship A is travelling at 6 km/h due east and ship B is travelling at 8 km/h due north. The velocity of B relative to A is

A. 7 km/hrs

B. 2 km/hrs

C. 1 km/hrs

D. 10 km/hrs

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Power developed by a torque, is

A. 2πNT kg m/min

B. 2πNT/4500 h.p

C. 2πNT /60 watts

D. All the above

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The units of inertia of mass are

A. kg/m

B. kg/m²

C. m⁴

D. kg-m²

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The resultant of two forces acting at right angles is 5 kgf and if they act at an angle of 60°, it is 37 kgf. The magnitudes of the forces are:

A. 2 kgf, 3 kgf

B. 3 kgf, 4 kgf

C. 4 kgf, 5 kgf

D. 5 kgf, 3 kgf

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If the angle of projection is double the angle of inclination (α) of the plane on which particle is projected, the ratio of times of flight up the inclined plane and down the inclined plane, will be

A. ½ cos α

B. ½ sin α

C. ½ tan α

D. 2 cos α

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A rigid body is in a stable equilibrium if the application of any force

A. Can raise the CG of the body but cannot lower it

B. Tends to lower the CG of the body

C. Neither raises nor lowers the CG of the body

D. None of above

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The reaction at the support B of the beam shown in below figure is

A. 1.6 t

B. 9.6 t

C. 8.5 t

D. 0.5 t

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For a body moving with simple harmonic motion, the number of cycles per second, is known as its

A. Oscillation

B. Amplitude

C. Periodic time

D. Frequency

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From a circular plate of a diameter 6 cm is cut out a circle whose diameter is equal to the radius of the plate. The C.G. of the remainder from the centre of circular plate is at a distance of

A. 2.0 cm

B. 1.5 cm

C. 1.0 cm

D. 0.5 cm

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If a spherical body is symmetrical about its perpendicular axes, the moment of inertia of the body about an axis passing through its centre of gravity as given by Routh's rule is obtained by dividing the product of the mass and the sum of the squares of two semi-axes by n. Where, n is

A. 2

B. 3

C. 4

D. 5

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A body of weight w placed on an inclined plane is acted upon by a force P parallel to the plane which causes the body just to move up the plane. If the angle of inclination of the plane is θ and angle of friction is φ, the minimum value of P, is

A. w sin (φ - θ)/cos φ

B. w sin (θ - φ)/cos φ

C. w cos (θ + φ)/cos φ

D. w sinθ cos(θ - φ)/sin φ

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If the angular distance, 0 = 2t³ - 3t², the angular acceleration at t = 1 sec. is

A. 1 rad/sec²

B. 4 rad/sec²

C. 6 rad/sec²

D. 12 rad/sec²

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Rate of change of angular momentum is equal to

A. Force

B. Torque

C. Linear momentum

D. Impulse

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A square hole is punched out of a circular lamina, the diagonal of the square being the radius of the circle. If r is the radius of the circle, the C.G. of the remainder from the corner of the square on the circumference will be

A. [r (π + 0.25)]/(π - 0.5)

B. [r (π - 0.5)]/(π + 0.25)

C. [r (π - 0.25)]/(π - 0.5)

D. [r (π + 0.25)]/(π + 0.5)

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Pick up the correct statement from the following for the structure shown in below figure.

A. The horizontal reaction at A is 2 √3t ←

B. The horizontal reaction at C is 2 √3t →

C. The vertical reaction at A is zero

D. All the above

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The force acting on a point on the surface of a rigid body may be considered to act

A. At the centre of gravity of the body

B. On the periphery of the body

C. On any point on the line of action of the force

D. At any point on the surface normal to the line of action of the force

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P is the force acting on a body whose mass is m and acceleration is f. The equation P - mf= 0, is known as

A. Equation of dynamics

B. Equation of dynamic equilibrium

C. Equation of statics

D. None of these

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The acceleration of a particle moving along the circumference of a circle with a uniform speed, is directed

A. Radially

B. Tangentially at that point

C. Away from the centre

D. Towards the centre

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At the instantaneous center, the velocity of the moving lamina at any instant is

A. Zero

B. Maximum

C. Minimum

D. Varying

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A particle of mass 2 kg executes simple harmonic motion of frequency 6/71 Hz and amplitude 0.25 m. Its maximum kinetic energy is

A. 4.5 J

B. 9.0 J

C. 12.0 J

D. 18.0 J

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The velocity ratio of the differential wheel and axle is

A. R/r1 - r2

B. 2R/r1

C. 3R/r1 - r2

D. 2R/r1 + r2

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Accepted Answer

A. Pyramid

A uniform pyramid and a uniform prism of same height lie with their base on the surface. Which is more stable?

Correct Answer :

Show all Applied Mechanics and Graphic Statics MCQ

Related Questions

Minimum potential energy of a system will be in the position of

Moment of inertia of a squares of side b about an axis through its centre of gravity, is

The horizontal reaction at the support A of the structure shown in below figure, is

A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/sec. The work required to stop the hoop is

If two forces P and Q (P > Q) act on the same straight line but in opposite direction, their resultant, is

A ball which is thrown upwards, returns to the ground describing a parabolic path during its flight

In simple harmonic motion, acceleration of a particle is proportional to

A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about (Assume g = 10 m/sec²)

The ratio of the ranges on the inclined plane with motion upward and with motion downward for a given velocity, angle of projection will be

At a given instant ship A is travelling at 6 km/h due east and ship B is travelling at 8 km/h due north. The velocity of B relative to A is

Power developed by a torque, is

The units of inertia of mass are

The resultant of two forces acting at right angles is 5 kgf and if they act at an angle of 60°, it is 37 kgf. The magnitudes of the forces are:

If the angle of projection is double the angle of inclination (α) of the plane on which particle is projected, the ratio of times of flight up the inclined plane and down the inclined plane, will be

A rigid body is in a stable equilibrium if the application of any force

The reaction at the support B of the beam shown in below figure is

For a body moving with simple harmonic motion, the number of cycles per second, is known as its

From a circular plate of a diameter 6 cm is cut out a circle whose diameter is equal to the radius of the plate. The C.G. of the remainder from the centre of circular plate is at a distance of

If a spherical body is symmetrical about its perpendicular axes, the moment of inertia of the body about an axis passing through its centre of gravity as given by Routh's rule is obtained by dividing the product of the mass and the sum of the squares of two semi-axes by n. Where, n is

A body of weight w placed on an inclined plane is acted upon by a force P parallel to the plane which causes the body just to move up the plane. If the angle of inclination of the plane is θ and angle of friction is φ, the minimum value of P, is

If the angular distance, 0 = 2t³ - 3t², the angular acceleration at t = 1 sec. is

Rate of change of angular momentum is equal to

A square hole is punched out of a circular lamina, the diagonal of the square being the radius of the circle. If r is the radius of the circle, the C.G. of the remainder from the corner of the square on the circumference will be

Pick up the correct statement from the following for the structure shown in below figure.

The force acting on a point on the surface of a rigid body may be considered to act

P is the force acting on a body whose mass is m and acceleration is f. The equation P - mf= 0, is known as

The acceleration of a particle moving along the circumference of a circle with a uniform speed, is directed

At the instantaneous center, the velocity of the moving lamina at any instant is

A particle of mass 2 kg executes simple harmonic motion of frequency 6/71 Hz and amplitude 0.25 m. Its maximum kinetic energy is

The velocity ratio of the differential wheel and axle is

Also checkout

A uniform pyramid and a uniform prism of same height lie with their base on the surface. Which is more stable?

Correct Answer :

Show all Applied Mechanics and Graphic Statics MCQ

Related Questions

Minimum potential energy of a system will be in the position of

Moment of inertia of a squares of side b about an axis through its centre of gravity, is

The horizontal reaction at the support A of the structure shown in below figure, is

A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/sec. The work required to stop the hoop is

If two forces P and Q (P > Q) act on the same straight line but in opposite direction, their resultant, is

A ball which is thrown upwards, returns to the ground describing a parabolic path during its flight

In simple harmonic motion, acceleration of a particle is proportional to

A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about (Assume g = 10 m/sec²)

The ratio of the ranges on the inclined plane with motion upward and with motion downward for a given velocity, angle of projection will be

At a given instant ship A is travelling at 6 km/h due east and ship B is travelling at 8 km/h due north. The velocity of B relative to A is

Power developed by a torque, is

The units of inertia of mass are

The resultant of two forces acting at right angles is 5 kgf and if they act at an angle of 60°, it is 37 kgf. The magnitudes of the forces are:

If the angle of projection is double the angle of inclination (α) of the plane on which particle is projected, the ratio of times of flight up the inclined plane and down the inclined plane, will be

A rigid body is in a stable equilibrium if the application of any force

The reaction at the support B of the beam shown in below figure is

For a body moving with simple harmonic motion, the number of cycles per second, is known as its

From a circular plate of a diameter 6 cm is cut out a circle whose diameter is equal to the radius of the plate. The C.G. of the remainder from the centre of circular plate is at a distance of

If a spherical body is symmetrical about its perpendicular axes, the moment of inertia of the body about an axis passing through its centre of gravity as given by Routh's rule is obtained by dividing the product of the mass and the sum of the squares of two semi-axes by n. Where, n is

A body of weight w placed on an inclined plane is acted upon by a force P parallel to the plane which causes the body just to move up the plane. If the angle of inclination of the plane is θ and angle of friction is φ, the minimum value of P, is

If the angular distance, 0 = 2t3 - 3t², the angular acceleration at t = 1 sec. is

Rate of change of angular momentum is equal to

A square hole is punched out of a circular lamina, the diagonal of the square being the radius of the circle. If r is the radius of the circle, the C.G. of the remainder from the corner of the square on the circumference will be

Pick up the correct statement from the following for the structure shown in below figure.

The force acting on a point on the surface of a rigid body may be considered to act

P is the force acting on a body whose mass is m and acceleration is f. The equation P - mf= 0, is known as

The acceleration of a particle moving along the circumference of a circle with a uniform speed, is directed

At the instantaneous center, the velocity of the moving lamina at any instant is

A particle of mass 2 kg executes simple harmonic motion of frequency 6/71 Hz and amplitude 0.25 m. Its maximum kinetic energy is

The velocity ratio of the differential wheel and axle is

Also checkout

If the angular distance, 0 = 2t³ - 3t², the angular acceleration at t = 1 sec. is