Consider the previous problem, at what p...

Consider the previous problem, at what point must the rod be picked over a knife edge, so that the barbell remains horizontal.

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`0.92m`

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Figure shows a rod of mass 10 kg of length 100cm with some masses tied to it at different position. Find the point on the rod at which if the rod is picked over a knife edge, it will be in equilibrium about that knife edge.

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A rigid mass less rod of length L is hinged at its one end a weight W is hung at a distance l(lt L) from this end. What is force P should be applied upwards at the other end so that the rod remains in equilibrium horizontally ? .

Consider a situation similar ot that of the previous problem except that the ends of the rod slide on a pair of thick metallic rails laid parallel to the wire. At one end the rails are connected by resistor of resistance R. (a) what force is needed ot keep the rod sliding at a constant speed v? (b) in this situation what is the current in the resistance R? (c) Find the rate of heat developed in the resistor. (d) find the power delivered by the external agent exerting the force on the rod.

Consider a variation of the previous problem. Suppose the circular loop lies in a vertical plane. The rod has a mass m. The rod and the loop have negligible resistances but the wire connecting O and C has a resistance R. The rod is made to rotate with a uniform angular velocity omega in the clockwise direction by applying a force at the midpoint of OA in a dirction perpendicular ot it. find the magnitude of this force when the rod makes an angle theta with the vertical.

Consider a variation of the previous problem. Suppose the circular loop lies in a vertical plane. The rod has a mass m. The rod and the loop have negligible resistance but the wire connecting O and C has a resistance R. The rod is made to rotate with a uniform angular velocity (omega) in the clockwise direction by applying a force at the midpoint of OA in a direction perpendicular to it. Find the magnitude of this force when the rod makes an angle (theta) with the vertical.

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