A solid sphere of mass rolls up a incline with an initial speed of . The maximum height reached by the sphere is
1
3.5 m
2
7.0 m
3
10.5 m
4
14.0 m
Official Solution
Correct Option: (2)
Given,
02
PYQ 2012
hard
physicsID: amueee-2
A wheel turning with angular speed of 30 rev/s is brought to rest with a constant acceleration. It turns 60 rev before it stops, the time that elapses before it stop, is
1
2s
2
4s
3
5s
4
6s
Official Solution
Correct Option: (2)
03
PYQ 2012
easy
physicsID: amueee-2
The total torque about pivot provided by the forces shown in the figure, for , is
Official Solution
Correct Option: (1)
04
PYQ 2014
hard
physicsID: amueee-2
Two uniform rods of different materials and have lengths and , respectively. The mass per unit length of rods and are and respectively. If the rods are arranged, as shown, the position of the relative to point is
1
4.9 m
2
3.9 m
3
2.9 m
4
2.2 m
Official Solution
Correct Option: (3)
The position of CM relative to point
05
PYQ 2015
medium
physicsID: amueee-2
A quarter horse power motor runs at a speed of . Assuming efficiency, the work done by the motor in the one rotation will be
1
2
3
4
Official Solution
Correct Option: (1)
Given, power is Since, efficiency of motor is . The power used in doing work is of , so
Angular velocity of the motor,
Let the torque be . So,
Now, work done in rotation
06
PYQ 2018
medium
physicsID: amueee-2
Figure shows a rectangular copper plate with is centre of mass at the origin and side . If a quarter part of the plate (shown as shaded) is removed, the centre of mass of the remaining plate would lie at
1
2
3
4
Official Solution
Correct Option: (2)
Given,
be the mass per unit area
If be the position of centre of mass, then
07
PYQ 2018
medium
physicsID: amueee-2
One end of massless spring of spring constant and natural length is fixed and other end is connected to a body of mass lying on a frictionless horizontal table. The spring remains horizontal. If the body is made to rotate at an angular velocity of rad/s, then the elongation of the spring will be
1
2 cm
2
1 cm
3
0.5 cm
4
0.25 cm
Official Solution
Correct Option: (2)
Given, , , , and Figure represents situation, as given in question
Centripetal force on the blocks = Spring force
08
PYQ 2018
medium
physicsID: amueee-2
A particle of mass is moving with a constant velocity along a line parallel to the positive direction of -axis. The magnitude of its angular momentum with respect to the origin
1
is zero
2
goes on increasing as increases
3
goes on decreasing as increases
4
remains constant for all positions of the particle
Official Solution
Correct Option: (4)
According to the question, Given, mass of the particle Linear momentum of the particle, or Position of particle at time ,
Angular momentum of the particle about
(constant) Particle is moving in +ve -direction ) Hence, angular momentvun of particle w.r.t the origin remains constant for all positions of the particle
