Q. The equation of motion of a particle starting from rest along a straight line is x = t³ - 3l² + 5. The ratio of the velocities after 5 sec and 3 sec will be

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Q. The moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter is 6 cm, about centroidal axis, is

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Q. The resultant of two forces acting at right angles is √34 kg and acting at 60° is 70 kg. The forces are

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Q. Two particles have been projected at angles 64° and 45° to the horizontal. If the velocity of projection of first is 10 m/sec, the velocity of projection of the other for equal horizontal ranges is

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Q. μ is coefficient of friction. A wheeled vehicle travelling on a circular level track will slip and overturn simultaneously if the ratio of its wheel distance to the height of its centroid, is

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Q. The necessary condition of equilibrium of a body, is :

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Q. A marble ball is rolled on a smooth floor of a room to hit a wall. If the time taken by the ball in returning to the point of projection is twice the time taken in reaching the wall, the coefficient of restitution between the ball and the wall, is

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Q. A number of forces acting simultaneously on a particle of a body

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

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Q. A satellite is said to move in a synchronous orbit if it moves at an altitude of 36, 000 km with a maximum velocity of about

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Q. 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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Q. A stone of mass 1 kg is tied to a string of length 1 m and whirled in a horizontal circle at a constant angular speed 5 rad/sec. The tension in the string is,

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Q. The ratio of the moment of inertia of a rectangle about its centroidal axis to the moment of inertia about its base, is

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Q. The apparent weight of a man in a moving lift is less than his real weight when it is going down with

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

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Q. Pick up the incorrect statement from the following :

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Q. A 49 kg lady stands on a spring scale in an elevator. During the first 5 sec, starting from rest, the scale reads 69 kg. The velocity of the elevator will be

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Q. Pick up the correct statement from the following. A rubber ball when strikes a wall rebounds but a lead ball of same mass and velocity when strikes the same wall, falls down

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Q. The instantaneous centre of a member lies at the point of intersection of two lines drawn at the ends of the member such that the lines are inclined to the direction of motion of the ends at

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Q. A rod 5 m in length is moving in a vertical plane. When it is inclined at 60° to horizontal, its lower end is moving horizontally at √3 m/sec and upper end is moving in vertical direction. The velocity of its upper end, is

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