A heavy particle of mass `1kg` suspended from a massless string attached to a roof. A horizontal force F is applied to the particle such that in the equilibrium position the string makes and angle `30^(@)` with the vertical. The magnitude of the force F equals
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Derermine the horizontal force required to displace a mass of 0.03 kg suspended by a string until the string makes an angle 30^(0) with the vertical.

An object of mass 10kg is connected to the lower end of a massless string of length 4m hanging from the ceiling. If a force F is applied horizontally at the mid-point of the string, the top half of the string makes an angle of 45^(@) with the vertical , then the magnitude of F is

An object of mass 10kg is connected to the lower end of a massless string of length 4m hanging from the ceiling. If a force F is applied horizontally at the mid-point of the string, the top half of the string makes an angle of 45^(@) with the vertical , then the magnitude of F is

An object of mass m is tied to a string of length l and a variable horizontal force is applied on it which is initially is zero and gradually increases until the string makes ann angle theta with the vertical. Workdone by the force F is

A ball of mass 200g is attached to a string of length 50cm and a force F is applied on it as shown. Find the work done by this force if string makes an angle 60^@ with vertical. In the initial and final position, speed of the ball is zero.