The density of a rod AB continuously increases from A to B. Is it easier to set it in rotatio by clamping ilt at A and applying a perpendicular force at B or by clamping it at B and applying the force at A?

The density of a rod AB increases linearly from A to B its midpoint is O and its centre of mass is at C. four axes pass through A, B, O and C, all perpendicular to the length of the rod. The moment of inertial of the rod about these axes are I_(A), I_(B), I_(O) and I_(C) respectively.

The density of as rod graduallly decreases from one end to the other. It is pivoted at an end so that ilt can move about a vertical axius through the pivot. A horizontal force F is applied on the free end n a direction perpendicular to the rod. The quantities, that do not depend on which end of the rod is pivoted are

The adjacent figure shows a non-uniform metre stick AB having the linear mass density variation lambda = lambda_(0) x , where lambda_(0) is a constant and x is the distance from end A, placed on a smooth horizontal surface. In the first experiment, the rod is pivoted at A and force F is applied perpendicular to the rod at the other end B and in the second experiment, the rod is pivoted at B and the force is applied perpendicular to the rod at the end A. If in the first case angular acceleration is alpha_(A) and in the second case it is alpha_(B) then

A force 50 N acts on a block A of mass 3 kg which is in contact with a block B of mass 2 kg, as shown in the figure. Find the forces acting on A and B. Will the same forces act on A and B if instead of applying the force to A, it is applied to B?

One end of meter stick is pinned to a table to that stick can rotate freely in aplane parallel to the table surface. Two horizontal forces are applied to the stick such that the rod does not rotate at all. One force has a magnitude of 2N and is applied perpendicular to the stick at the free end. The other force has a magnitude of 8N and acts at 30^(@) with respect in the length of the stick. At what distance from the pinned end is the 8N force applied.

A uniform rod AB of mass m and length l is at rest on a smooth horizontal surface. An impulse J is applied to the end B perpendicular to the rod in horizontal direction. Speed of the point A of the rod after giving impulse is:

The metal blocks A and B of masses 2 kg and 1 kg , respectively are in contact on a frictionless table A constant horizontal force of 3 N is applied to the block A . Calculate the force of constant between the two blocks . If the same force is applied to the block B then what will be the force of contact ? Can you explain the difference ?

Two partical A and B each of mass m are kept stationary by applying a horizontal force F = mg on partical B as show in figure .Then