Q. ω rad/sec is the angular velocity of a crank whose radius is r. If it makes θ° with inner dead centre and obliquity of the connecting rod l is φ, the velocity v of the piston, is given by the equation

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Q. According to Kennedy's theorem, if three bodies have plane motions, their instantaneous centres lie on

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Q. A ball of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/sec hits an identical stationary ball B on the table. If the impact is perfectly plastic, the velocity of the ball B just after impact would be

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Q. If two forces each equal to T in magnitude act at right angles, their effect may be neutralised by a third force acting along their bisector in opposite direction whose magnitude will be

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Q. Energy may be defined as

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Q. The intrinsic equation of catenary is

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

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Q. Angular acceleration of a particle may be expressed as

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Q. A train weighing 196 tonnes experiences a frictional resistance of 5(11/22) per tonne. The speed of the train at the top of a down gradient 1 in 78.4 is 36 km/hour. The speed of the train after running 1 km down the slope, is

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Q. A stone is whirled in a vertical circle, the tension in the string, is maximum

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Q. Periodic time of body moving with simple harmonic motion, is

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Q. On a ladder resting on a rough ground and leaning against a smooth vertical wall, the force of friction acts

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Q. The centre of gravity of a plane lamina will not be at its geometrical centre if it is a

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Q. The motion of a bicycle wheel is

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Q. The displacement of a particle which moves along a straight line is given by S = 4t³ + 3t² - 10 where S is in meters and t is in seconds. The time taken by the particle to acquire a velocity of 18 m/sec from rest, is

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Q. Pick up the correct statement from the following. The kinetic energy of a body

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

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Q. A geo-stationary satellite is one which orbits the earth with a velocity of rotation of

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Q. The direction of projection should bisect the angle between the inclined plane and the vertical for a range of a projectile on inclined plane

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Q. A particle moving with a simple harmonic motion, attains its maximum velocity when it passes

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