A cylinder rolls up an inclined plane, reaches some height and then rolls down (without slipping throughout these motions). The direction of the frictionless force acting on the cylinders is ___________
a) Up the incline, while ascending and down the incline, while descending
b) Up the incline, while ascending as well as descending
c) Down the incline, while ascending and up the incline, while descending
d) Down the incline, while ascending as well as descending
Q.2.
A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass same, which one of the following will not be affected?
a) Moment of inertia
b) Angular momentum
c) Angular velocity
d) Rotational kinetic energy
Q.3.
A thin circular ring of mass m and radius R is rotating about its axis with a constant angular velocityω. Two objects each of mass M are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with an angular velocity ω‘, which is equal to?
a) mω/(m+M)
b) mω/(m+2M)
c) ((m+2m)ω)/m
d) ((m-2M)ω)/((m+2M))
Q.4.
A solid sphere, a hollow sphere and a ring are released from top of an inclined plane (frictionless) so that they slide down the plane. Then, maximum acceleration down the plane is for (No rolling) is ___________
a) Solid sphere
b) Hollow sphere
c) Ring
d) All same
Q.5.
In a bicycle the radius of rear wheel is twice the radius of the front wheel. If rf and rr are the radii vf and vr are the speeds of top most points of wheels, then?
a) vr=2vf
b) vf=2vr
c) vr=vf
d) vr is lesser than vf
Q.6.
Two rings of radii R and nR made from the same wire have the ratio of moments of inertia about an axis passing through their centre equal to 1:What is the value of n?
a) 2
b) 2√2
c) 4
d) ½
Q.7.
In an orbital motion, the angular momentum vector is ___________
a) Along the radius vector
b) Parallel to the linear momentum
c) In the orbital plane
d) Perpendicular to the orbital plane
Q.8.
If there is a change of angular momentum from J toin 4s, then the torque is ___________
a) (3/4) J
b) 1J
c) (5/4) J
d) (4/3) J
Q.9.
A horizontal platform is rotating with uniform angular velocity ω around the vertical axis passing through its centre. At some instant of time, a viscous liquid of mass m is dropped at the centre and is allowed to spread pout and finally fall. The angular velocity during this period ___________
a) Decreases continuously
b) Decreases initially and increases again
c) Remains unaltered
d) Increases continuously
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