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20 questions
The moments of inertia of two rotating bodies A and B about the same axis are IA & IB ( IA > IB ) and their angular momentum are equal. If KA & KB are their rotational kinetic energies then......
KA > KB
KA < KB
KA = KB
KA = KB = 0
A rigid body is rotating about an axis. to stop the rotation, we have to apply........
pressure
force
momentum
torque
Two rings have their moments of inertia in the ratio 2 : 1 and their diameters are in the ratio 2 : 1. The ratio of their masses will be..........
2 : 1
1 : 2
1 : 4
1 : 1
A 2 kg mass is rotating on a circular path of radius 0.8 m with angular velocity of 44 rad/s. If the radius of the path becomes 1m, then the angular velocity will be ........
8.12 rad/s
19.28 rad/s
28.16 rad/s
35.26 rad/s
A disc of mass 2 kg and radius 20 cm is free rotate about an axis through its centre and perpendicular to the disc. If a force of 50 N is applied tangentially to the disc, then the angular acceleration is.......
250 rad/s2
25 rad/s2
2.5 rad/s2
0.25 rad/s2
For the uniform circular motion of a body, the direction of the centripetal force of a body.........
depends on the mass of the body
depends on the linear speed of the body
depends on the sense of rotation(clockwise or anticlockwise) of the body
does not depend on the sense of rotation(clockwise or anticlockwise) of the body
A car is moving on a banked track of radius 10m with a constant speed of 10 m/s. The angle of banking is ........
(g = 10 m/s2)
900
600
450
300
A cyclist moving at a speed of 20 m/s takes a turn. If he doubles his speed, then the chance of overturn........
is halved
is doubled
becomes 4 times
becomes 1/4 times
A coin is placed on a disc rotating at a speed of 45 rpm. It flies away when the rotational speed of the disc becomes 50 rpm. If another identical coin is placed on the first coin , then both of them will fly away when the rotational speed is.......
12.5 rpm
25 rpm
50 rpm
100 rpm
A stone of mass 16 kg is attached to a string 144 m long and is whirled in a horizontal circle. The maximum tension the string can withstand is 16 N. Then the maximum speed that can be given to the stone without breaking the string is.........
12 m/s
14 m/s
16 m/s
20 m/s
Out of the following equations, which is the incorrect equation?
τ = r x F
aR = ω x v
aT = α x r
v =r x ω
The formula for the period of the conical pendulum is ......
2π1glcosθ
2π1glsinθ
4π4glcosθ
4πgltanθ
The bulging of the earth at the equator is due to ......
centripetal force
centrifugal force
gravitational force
electrostatic force
The angular separation between the minute hand and the hour hand of a clock at 12:20 p.m. is......
900
1000
1100
1200
A circular disc rotates about an axis passing through its centre with a certain angular velocity. Suddenly a small piece of the disc breaks from the edge and falls down. Then ........
its M.I. will increase and the angular velocity will decrease
its M.I. will decrease and the angular velocity will increase
both, the M.I. and the angular velocity will increase
both, the M.I. and the angular velocity will decrease
The moment of inertia of a body does not depend on ......
the mass of the body
the angular velocity of the body
the axis of rotation of the body
the distribution of the mass of the body
The shaft of a motor rotates at a constant angular velocity of 3000 rpm. In 1 second its angular displacement in radian is .....
1000π
100π
10π
π
The radius of gyration of a disc of radius R rotating about an axis perpendicular to its plane and tangential to the disc is .........
23 R
23R
2R
2R
A body of M.I. 5 kg-m2 rotating with an angular velocity of 6 rad/s has the same kinetic energy as a mass of 20 kg moving with a velocity of ........
12m/s
9 m/s
6 m/s
3 m/s
A thin wire of length L and uniform linear mass density d is bent into a circular ring. Moment of inertia of the coil about a tangential axis in its plane is ...........
8π23dL2
3dL38π2
8π23dL3
3dL28π
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