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4

A body is said to move with Simple Harmonic Motion if its acceleration, is

A. Always directed away from the centre, the point of reference

B. Proportional to the square of the distance from the point of reference

C. Proportional to the distance from the point of reference and directed towards it

D. Inversely proportion to the distance from the point of reference

Correct Answer :

C. Proportional to the distance from the point of reference and directed towards it


Related Questions

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4

A square hole is made in a circular lamina, the diagonal of the square is equal to the radius of the circle as shown in below figure the shift in the centre of gravity is

A. r (π - 0.75)/(π - 0.5)

B. r (π - 0.25)/(π - 0.75)

C. r (π - 0.5)/(π - 0.75)

D. r (π - 0.5)/(π - 0.25)

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4

A uniform rod 9 m long weighing 40 kg is pivoted at a point 2 m from one end where a weight of 120 kg is suspended. The required force acting at the end in a direction perpendicular to rod to keep it equilibrium, at an inclination 60° with horizontal, is

A. 40 kg

B. 60 kg

C. 10 kg

D. 100 kg

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4

From a solid cylinder of height 8 cm and radius 4 cm, a right circular cone is scooped out on the same base and having the same height as that of the cylinder. The C.G. of the remainder is at a height of

A. 4.5 cm

B. 5.0 cm

C. 5.25 cm

D. 5.5 cm

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4

A load of 500 kg was lifted through a distance of 13 cm. by an effort of 25 kg which moved through a distance of 650 cm. The efficiency of the lifting machine is

A. 50 %

B. 40 %

C. 55 %

D. 30 %

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4

If two forces acting at a point are in equilibrium, they must be equal in magnitude and their line of action must be along

A. The same line in the same sense

B. The same line in opposite sense

C. The perpendicular to both the lines

D. None of these

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4

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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4

M.I. of solid sphere, is

A. Mr2

B. ½ Mr2

C. Mr2

D. πr4/2

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4

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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4

To double the period of oscillation of a simple pendulum

A. The mass of its bob should be doubled

B. The mass of its bob should be quadrupled

C. Its length should be quadrupled

D. Its length should be doubled

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4

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

A. 10.8 t

B. 10.6 t

C. 10.4 t

D. 10.2 t

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4

Two loads of 50 kg and 75 kg are hung at the ends of a rope passing over a smooth pulley shown in below figure. The tension in the string is:

A. 50 kg

B. 75 kg

C. 25 kg

D. 60 kg

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4

The unit of moments in M.K.S system, is

A. kg.m

B. kg/m2

C. kg/sec2

D. kg/sec

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4

The centre of gravity of a quadrant of a circle lies along its central radius at a distance of

A. 0.2 R

B. 0.4 R

C. 0.3 R

D. 0.6 R

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4

A retarding force on a body does not

A. Change the motion of the body

B. Retard the motion of the body

C. Introduce the motion of the body

D. None of these

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4

A bullet weighing 10 gm moves with a velocity of l km/sec. Its kinetic energy is (i) 5000 Nm (ii) 5000 kg.m (iii) 5000 J The correct answer is

A. Only (ii)

B. Both (i) and (iii)

C. Both (ii) and (iii)

D. All (i), (ii) and (iii)

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4

In which of the following trusses, the method of substitution is required for determining the forces in all the members of the truss by graphic statics?

A. Howe truss

B. King post truss

C. Fink truss

D. Warren truss

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4

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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4

A weight W is suspended at the free end of a light member hinged to a vertical wall. If the angle of inclination of the member with the upper wall is θ°, the force introduced in the member, is

A. W sec θ

B. W cos θ

C. W sin θ

D. W cosec θ

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4

The moment of inertia of a triangular section (base b, height h) about centroidal axis parallel to the base, is

A. b3h/12

B. bh3/3

C. bh3/36

D. bh3/2

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4

The reaction at the central support B of the beam ABC hinged at D shown in below figure is

A. 2 t

B. 5.8 t

C. 0.2 t

D. 3.5 t

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4

Two circular discs of same weight and thickness are made from metals having different densities. Which disc will have the larger rotational inertia about its central axis?

A. Disc with larger density

B. Disc with smaller density

C. Both discs will have same rotational inertia

D. None of the above

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4

Pick up the incorrect statement from the following. In case of suspension bridge due to rise in temperature,

A. Dip of the cable increases

B. Length of the cable increases

C. Dip of the cable decreases

D. None of these

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4

A point subjected to a number of forces will be in equilibrium, if

A. Sum of resolved parts in any two directions at right angles, are both zero

B. Algebraic sum of the forces is zero

C. Two resolved parts in any two directions at right angles are equal

D. Algebraic sum of the moments of the forces about the point is zero

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4

The bending moment in an arch is proportional to

A. Vertical ordinate of funicular polygon

B. Vertical ordinate of the arch

C. Intercept between the arch axis and the funicular polygon

D. None of these

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4

A body A of mass 6.6 kg which is lying on a horizontal platform 4.5 m from its edge is connected to the end of a light string whose other end is supporting a body of mass 3.2 kg as shown in below figure. If the friction between the platform and the body A is 1/3, the acceleration is

A. 0.5 m/sec2

B. 0.75 m/sec2

C. 1.00 m/sec2

D. 1.25 m/sec2

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4

0.For maximum range of a projectile, the angle of projection should be

A. 30°

B. 45°

C. 60°

D. None of these

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4

A weight of 100 kg is supported by a string whose ends are attached to pegs A and B at the same level shown in below figure. The tension in the string is

A. 50 kg

B. 75 kg

C. 100 kg

D. 120 kg

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4

For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is

A. α = π/4 - β/2

B. α = π/2 + β/2

C. α = β/2 - π/2

D. α = π/4 - β/2

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4

The mechanical advantage of an ideal machine is 100. For moving the local through 2 m, the effort moves through

A. 0.02 m

B. 2 m

C. 2.5 m

D. 20 m

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4

When a body moves round a fixed axis, it has

A. A rotary motion

B. A circular motion

C. A translatory

D. A rotary motion and translatory motion