Q.1
##### A wheel starts from rest and spins with a constant angular acceleration. As time goes on the acceleration vector for a point on the rim
• increases in magnitude and becomes more nearly radial
• decreases in magnitude and becomes more nearly radial
• increases in magnitude and becomes more nearly tangent to the rim
• increases in magnitude but retains the same angle with the tangent to the rim
Q.2
##### The following questions consists of two statements , Assertion and Reason. While answering these questions choose any of the following four responses Statement I : Two cylinder , one hollow (metal) and the other solid(wood) with the same mass and identical dimension are simultansouly allowed to roll without slipping down on a inclined plane from the same height. The hollow cylinder will reach the bottom of the inclined plane first Statement II: By the principle of conservation of energy ,the total kinetic energies of both the cylinders are identical when reach the bottom of the incline
• If both statement I and reason are true but Statement II is not a correct explanation of statement I.
• If statement I is false and Statement II is true
• If statement I  is true and Statement II is false.
• If both statement I and Statement II are true and the Statement II is correct explanation of statement I.
Q.3
##### A uniform sold sphere rolls on the horizontal surface at 20 m/s.it then rolls up the incline of 30°.If friction losses are negligible what will be the value of h where sphere stops on the incline
• 28.6 m
• 30 m
• 28 m
• none of these
Q.4
##### A mass is moving with constant velocity along a line parallel to x-axis  away from origin.its angular momentum with respect to origin is
• remains constant
• goes on decreasing
• is zero
• goes on increasing
Q.5
• 4.7 rev/s
• 5.26 rev/s
• 4.0 rev/s
• 5.2 rev/s
Q.6
• 10 sec
• 3 sec
• 18 sec
• 6 sec
Q.7
• L
• 2L
• L/2
• L/4
Q.8
##### A cylinder of Mass M and radius R rolls down a incline plane of inclination $\theta$.Find the linear accleration of the cylinder
• $\frac {2gcos \theta}{3}$
• $gsin \theta$
• $\frac {3gcos \theta}{2}$
• $\frac {2gsin \theta}{3}$
Q.9
• 1/2
• 4
• 1/4
• 2
Q.10
##### A hoop of radius r and mass m rotating with an angular velocity $\omega _0$ is placed on a rough horizontal surface . The initial velocity of the center of the hoop is zero. What will be the velocity of the center of the hoop when it ceases to slip?
• $r \omega _0$
• $\frac {r \omega _0}{2}$
• $\frac {r \omega _0}{3}$
• $\frac {r \omega _0}{4}$
Q.11
• 1/2
• 1/4
• 2
• 4
Q.12
• 7ML2/48
• 11ML2/48
• ML2/12
• 7ML2/36
Q.13
• 9
• 8
• 4
• 5
Q.14
##### A cylinder rolls up the incline plane reaches some height and then roll down without slipping through out this section.The direction of the frictional force acting on the cylinder are
• down the incline while ascending and up the incline while descending
• Up the incline while ascending and desending
• down the incline while ascending and desending
• Up the incline while ascending and down the incline while descending
Q.15
##### One solid sphere X and another hollow sphere Y are of same mass and same outer radii. Their moment of inertia about their diameters are respectively Ix and Iy such that
• Ix > Iy
• Ix= Iy
• Ix/Iy=Dx/Dy Where Dx and Dy are their densities.
• Ix < Iy