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A bullet weighing 200 g is fired horizontally with a velocity of 25 m/sec from a gun carried on a carriage which together with the gun weighs 100 kg. The velocity of recoil of the gun, will be
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4
Rate of change of angular momentum is equal to
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The following is not a law of static friction:
A. The force of friction always acts in a direction opposite to that in which the body tends to move
B. The force of friction is dependent upon the area of contact
C. The force of friction depends upon the roughness of the surface
D. The magnitude of the limiting friction bears a constant ratio to the normal reaction between two surfaces
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4
Select the correct statement
A. The body centrode rolls on the space centrode
B. The space centrode rolls on the body centrode
C. Both body and space centrodes may role on each other
D. The body centrode never touches space centrode
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Williot-Mohr diagram is used to determine deflection in
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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
B. Equation of dynamic equilibrium
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Minimum potential energy of a system will be in the position of
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Newton's law of Collision of elastic bodies states that when two moving bodies collide each other, their velocity of separation
A. Is directly proportional to their velocity of approach
B. Is inversely proportional to their velocity of approach
C. Bears a constant ratio to their velocity of approach
D. Is equal to the sum of their velocities of approach
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The mechanical advantage of an ideal machine is 100. For moving the local through 2 m, the effort moves through
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Two shots fired simultaneously from the top and bottom of a vertical tower with elevations of 30° and 45° respectively strike a target simultaneously. If horizontal distance of the target from the tower is 1000 m, the height of the tower is
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A rigid body suspended vertically at a point and oscillating with a small amplitude under the action of the force of gravity, is called
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The following is in unstable equilibrium
A. A uniform solid cone resting on a generator on a smooth horizontal plane
B. A uniform solid cone resting on its base on a horizontal plane
C. A solid cube resting on one edge
D. A satellite encircling the earth
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A ball moving on a smooth horizontal table hits a rough vertical wall, the coefficient of restitution between ball and wall being 1/3. The ball rebounds at the same angle. The fraction of its kinetic energy lost is
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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 velocity ratio of the lifting machine is
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Instantaneous center is at infinity when the angular velocity is
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A particle is dropped from the top of a tower 60 m high and another is projected upwards from the foot of the tower to meet the first particle at a height of 15.9 m. The velocity of projection of the second particle is
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The C.G. of a thin hollow cone of height h, above its base lies on the axis, at a height of
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The acceleration of a particle moving along the circumference of a circle with a uniform speed, is directed
B. Tangentially at that point
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The maximum frictional force which comes into play, when a body just begins to slide over the surface of a another body, is known
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Impulse can be obtained from a
A. Force-displacement diagram
D. Velocity-displacement diagram
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Engineer's units of force, is
A. Newton in absolute units
B. Dyne in absolute units
C. Newton and dyne in absolute units
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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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The C.G. of the shaded area of the below figure from the x-axis is
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The resolved part of the resultant of two forces inclined at an angle θ in a given direction is
A. Algebraic sum of the resolved parts of the forces in the direction
B. Arithmetical sum of the resolved parts of the forces in the direction
C. Difference of the forces multiplied by cosine θ°
D. Sum of the forces multiplied by the tangent θ°
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One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The tension in the string is
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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
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A projectile is fired with a velocity of 100.3 m/sec. at an elevation of 60°. The velocity attained by the projectile when it is moving at a height of 100 m, is
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The reaction RB of the roller support B of the beam shown in below figure is
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If a particle moves with a uniform angular velocity ω radians/sec along the circumference of a circle of radius r, the equation for the velocity of the particle, is
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A simple pendulum of length 1 has an energy E when its amplitude is A. If its amplitude is increased to 2 A, the energy becomes