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 continuously increases from A to B . It is easier to set it into rotation by

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 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

in which fo the following cases the centre of mass of a rod is certainly not at its centre? (A) The density continuously increases from left ot right (B) The density continuously decreases from left to right (C) The density decreases from left to right up to the centre and then increases (D) The density increases from left to right up to the centre and then decreases Select correct alternative.

A thin uniform rod AB of mass m and length L is placed on a smooth horizontal table. A constant horizontal force of magnitude F starts acting on the rod at one of the ends AB , Initially, the force is perpendicular to the length of the rod. Taking the moment at which force starts acting as t=0 , find. (a) Distance moved by centre of mass of the rod in time t_(0) . (b) Magnitude of initial acceleration of the end A of the rod.

State the condition when on applying a force, a body has: (a) translational motion, (b) rotational motion

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

A constant force acts on object of mass 5 kg for a duration of 2s It increases the object's velocity from 3m//s to 7m//s Find the magnitude of the applied force. Now if the force were applied for a duration of 5s what would be the final velocity of object?

A straight rod AB of mass M and length L is placed on a frictionless horizontal surface. A force having constant magnitude F and a fixed direction start acting at the end A. The rod is initially perpendicular to the force. The initial acceleration of end B is

In a simple Atwood's machine, two unequal masses m_1= 5 kg , m_2 = 2 kg are connected by a string going over a clamped light smooth pulley. Now a constant force F = 1 N is applied on each mass in vertically downward direction. The ratio of acceleration of either block before and after applying the force will be