A ball is tied at the end of a perfect string which is further tied tightly (assume fixed) to a wooden bar. The other end is rotating with constant angular velocity. Complete the following statement. Its tangential velocity will : |
Decrease with time Will remain constant Increase with time Decreases exponentially |
Decrease with time |
The motion will cause the string to get wrapped around the bar, since, the other end of the string is fixed to the wooden bar. This will cause the effective radius of the circular motion to decrease. The tangential velocity is given as v = $\omega r$. Thus, it will decrease with time. |