Ametal ball of mass 2 kg is supported by a massless inextensible string, 12 cm long. a horizontal force displaces the ball by 30oto the vertical so that the string remains taut. find: a) the horizontal force. b) the tension in the thread.

As it is given that 2 kg mass is suspended by 12 cm long thread and then a horizontal force is applied on it so that it remains in equilibrium at 30 degree angle

So here we can use force balance in X and Y directions

now for X direction or horizontal direction we can use

for vertical direction similarly we can say

so here we first divide the two equations

now plug in all values in the above equation

Part b)

now in order to find the tension in the thread we can use any above equation

so tension in the thread will be 22.6 N

gets less