This section contains 4 multiple choice questions. Each question has 4 choices (a), (b), (c) and (d), out of which ONLY ONE is correct.
1. In the arrangement shown in figure below, the two pulleys are fixed and two blocks A arid B are made to move downwards so that they decelerate at 10 m/s2. The arrangement achieving the above is not shown in the diagram. The block C, which is fixed to the middle of the string, moves upward with a constant velocity u. At a certain instant, (shown in the figure) = 300, and
(dθ/dt)=+1radian/s. It can be concluded that
2. A disc is given an initial angular velocity ωο and placed on rough horizontal surface as shown. The quantities which will not depend on the coefficient of friction is/are
(a) the time until rolling begins.
(b) the displacement of the ‘disc until rolling begins
(c) the velocity when rolling begins
(d) the work done by the force of friction
3. Liquid density ρ of is filled in the container of negligible mass having area A. Area of hole ‘a’ very small (a <<A) is made near the bottom in the wall of container. Co-efficient of friction between container and surface is equal to(a/A) . As liquid is coming out of vessel, instantaneous acceleration of the container is
4. Figure shows a planar right angled triangle of mass m. What is the moment of inertia of ΔABC about an axis passing through B and perpendicular to the plane?