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qUESTIONS

MCQs-PYQs-12th-jee

The following bodies are made to roll up (without slipping) the same inclined plane from a horizontal plane : (i) a ring of radius R, (ii) a solid cylinder of radius R/2 and (iii) a solid sphere of radius R/4. If in each case, the speed of the centre of mass at the bottom of the incline is same, the ratio of the maximum height they climb is :

MCQs-PYQs-12th-jee

A solid sphere and solid cylinder of identical radii approach an incline with the same linear velocity (see figure). Both roll without slipping all throughout. The two climb maximum heights h_sph and h_cyl on the incline. The ratio h_sph /h_cyl is given by :

MCQs-PYQs-12th-jee

Let the moment of inertia of a hollow cylinder of length 30 cm (inner radius 10 cm and outer radius 20 cm ) , about its axis be I . The radius of a thin cylinder of the same mass such that its moment of inertia about its axis is also I, is:

MCQs-PYQs-12th-jee

A circular disc D1 of mass M and radius R has two identical discsD2 and D3 of the same mass M and radius R attached rigidly at its opposite ends.The moment of inertia of the system about the axis OO’ passing through the centre ofD1,as shown in the figure will be

MCQs-PYQs-12th-jee

A slab is subjected to two forces F1 and F2 of same magnitude F as shown in the figure. Force F2 is in x-y plane while force F1 acts along z-axis at the point (2 î+3 ĵ). The moment of these forces about point O will be

MCQs-PYQs-12th-jee

A rigid massless rod of length 31 has two masses attached at each end as shown in the figure. The rod is pivoted at a point on the horizontal axis (see figure) when released from initial horizontal position, its instantaneous angular acceleration will be

MCQs-PYQs-12th-jee

Two identical spherical balls of mass M and radius R each are stuck on two ends of a rod of length 2 R and mass M (see figure). The moment of inertia of the system about the axis passing perpendicularly through the center of the rod is

MCQs-PYQs-12th-jee

Small object of uniform density rolls up a curved surface with an initial velocity v. It reaches up to a maximum height of 3 v^2/4 g with respect to the initial position. The object is:

MCQs-PYQs-12th-jee

A child is standing with folded hands at the center of a platform rotating about its central axis. The kinetic energy of the system is `K`. The child now stretches his arms so that the moment of inertia of the system doubles. The kinetic energy of the system now is

MCQs-PYQs-12th-jee

A thin circular ring of mass M and radius r is rotating about its axis with an angular speed ω. Two particles having mass m each are now attached at diametrically opposite points. The angular speed of the ring will become

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