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/s^{2}
36 m/s^{2}
5 m/s^{2}
5 m/s^{2}
The instantaneous angular position of a point on a rotation wheel is given by the equation
Q(t) = 2t^{3} - 6t^{2}
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/s^{2}. If g = 10 m/s^{2} ,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} + ML^{2}/4
I_{o} + 2ML^{2}
I_{o} + ML^{2}
I_{o} + ML^{2}
A planet moving along an elliptical orbit is closer to the sun at a distance r_{1} and farthest away at a distance of r_{2}. if v_{1} and v_{2} are the linear velocities at these points respectively, then the ratio v_{1}/v_{2} is
r_{2}/r_{1}
(r_{2}/r_{1})^{2}
r_{1} /r_{2}
r_{1} /r_{2}
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
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/s^{2}
5 m/s^{2}
5 m/s^{2}