JEE 2020 Physics: System of Particles & Rotational Dynamics Quiz 3 (09.08.2019)
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Question 1
Let 'M' be the mass and '1.4' be the length of a thin uniform rod. In first case, axis of rotation is passing through centre and perpendicular to the length of the rod. In second case axis of rotation is passing through one end and perpendicular to the length of the rod. The ratio of radius of gyration in first case to second case is
Question 2
A ball of mass 160 g is thrown up at an angle of 60° to the horizontal at a speed of . The angular momentum of the ball at the highest point of the trajectory with respect to the point from which the ball is thrown is nearly
Question 3
Two rods of length l each and masses 2m and m respectively are joined end to end. The combination is pivoted at one end. A small mass m is moving horizontally towards the combination. It hits the end of the lighter rod, at the farthest point from the pivot point and sticks to it. If the combination is free to rotate, what is the moment of inertia of the system at the pivot point?
Question 4
A rotating wheel changes angular speed from 1800 rpm to 3000 rpm in 20 s. What is the angular acceleration assuming to be uniform?
Question 5
Four small object each of mass m are fixed at the corners of a rectangular wire-frame of negligible mass and of sides a and b (a > b). If the wire frame is now rotated about an axis passing along the side of length b, then the moment of inertia of the system for this axis of rotation is
Question 6
A thin spherical shell of mass m and radius R rolls down a parabolic path PQR from a height H without slipping. Part PQ is sufficiently rough while part QR is smooth. If the height reached by the shell on the part QR be h, then h/H is given by (assume R << H)
Question 7
A disc of radius r is rotating about its centre with an angular speed ω0. It is gently placed on a rough horizontal surface. After what time it will be in pure rolling?
Question 8
Five particles of mass = 2 kg are attached to the rim of a circular disc of radius 0.1 m and negligible mass. Moment of inertia of the system about the axis passing through the centre of the disc and perpendicular to its plane is
Question 9
Three rings each of mass M and radius R are arranged as shown in the figure. The moment of inertia of the system about YY'will be
Question 10
A solid sphere, a hollow sphere and a ring are released from top of an inclined plane (friction-less) so that they slide down the plane. Then maximum acceleration down the plane is for (no rolling)
. The angular momentum of the ball at the highest point of the trajectory with respect to the point from which the ball is thrown is nearly 
