A particle moves in a circle of radius 5 cm with constant speed and time period 0.2 πs. The acceleration of the particle is 

• 25 m/s²

• 36 m/s²

• 5 m/s²

• 5 m/s²

The instantaneous angular position of a point on a rotation wheel is given by the equation 

Q(t)  = 2t³ - 6t²

The torque on the wheel becomes zero at

• t = 0.5 s 

• t = 0.25 s

• t = 2s

• t = 2s

A person of mass 62 kg is inside of a lift of mass 940 kg and presses the button on control panel. The lift starts moving upwards with an acceleration 1.0 m/s². If g = 10 m/s² ,the tension in the supporting cable is

• 9680 N

• 11000 N

• 1200 N 

• 1200 N 

The moment of inertia of a thin uniform rod of mass M  and length L about an axis passing through its mid - point and perpendicular to its length is I_o. Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is

• I_o + ML²/4

• I_o + 2ML²

• I_o + ML²

• I_o + ML²

A planet moving along an elliptical orbit is closer to the sun at a distance r₁ and farthest away at a distance of r₂. if v₁ and v₂ are the linear velocities at these points respectively, then the ratio v₁/v₂ is

• r₂/r₁

• (r₂/r₁)²

• r₁ /r₂

• r₁ /r₂

A  particle of mass m is released from rest and follows a parabolic path is shown. Assuming that the displacement of the mass from the origin is small, which graph correctly depicts the position of the particle as a function of time?

A body projected vertically from the earth reaches a height equal to earth's radius before returning to the earth. The power exerted by the gravitational force is greatest

• at the instant just before the body hits the earth

• it remains constant all through

• at the instant just after the body is projected

• at the instant just after the body is projected

A boy standing at the t op of a tower of 20 m height drops a stone. Assuming g = 10 ms^-2, the velocity with which it hits the ground is 

• 20 m/s

• 40 m/s

• 5 m/s

• 5 m/s

The dimensions of  are

• [L^-1T]

• [LT^-]

• [L-^1/2 T^1/2]

• [L-^1/2 T^1/2]

A body is moving with velocity 30 m/s towards east. After 10 s its velocity becomes 40 m/s towards the north. The average acceleration of the body is 

• 7 m/s²

• 

• 5 m/s²

• 5 m/s²