A uniform rod of mass m has very tiny lead balls, each of mass m, welded to each end. If the rod hangs in empty space, and a force F is applied to the rod, consider three cases: A) The force is applied to the upper lead ball; B) The force is applied halfway between the upper lead ball and the center of mass of the system; C) The force is applied at the center of mass of the system.

Options:

1.Case

C2.It will be the same in all three cases.

3.Case A

4.Case B

C2. It will be the same in all three cases.

Explanation:In the above scenerio,

F, is the only net force that is acting on the System. Hence, the acceleration of the center of mass (a point in an object where a force can be applied to cause a linear acceleration without leading to an angular acceleration)is the same in each of the cases highlighted.The torque(the rotational equivalent of a linear force) depends on where the force acts.

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weight of the box is given as

here this is placed on the inclined of angle 42 degree

now this weight will have two components one is along the incline other is perpendicular to it

so here we need to apply a force parallel to incline opposite to its component of weight

so here the component of weight is given as

here we have

so it requires 75 n force to move it upwards