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PhysicsW.E.P.Vertical circular motionEasy2 minai-gemini

PhysicsEasymultiple choice

A block of mass $m$ is attached to a string of length $L$ and is whirled in a vertical circle. The tension in the string is $T$ . Which of the following statements is/are correct?

Options:(select one or more)

Answer:

A, B, C, D

Solution:

At the lowest point, the net force towards the center is $T_{b o tt o m} - m g = m v^{2} / L$ , so $T_{b o tt o m} = m g + m v^{2} / L$ . Thus, A is correct. At the highest point, the net force towards the center is $T_{t o p} + m g = m v^{2} / L$ . For the minimum speed to complete the circle, $T_{t o p} = 0$ , so $m g = m v^{2} / L$ , which gives $v = gL$ . Thus, B is correct. If the string breaks at the highest point, the block will have a horizontal velocity and will be under the influence of gravity, thus following a parabolic path. Thus, C is correct. Let $v_{b}$ be the speed at the bottom and $v_{t}$ be the speed at the top. By conservation of mechanical energy, $\frac{1}{2} m v_{b}^{2} = \frac{1}{2} m v_{t}^{2} + m g (2 L)$ . So, $\frac{1}{2} m v_{b}^{2} - \frac{1}{2} m v_{t}^{2} = 2 m gL$ . Thus, D is correct.

Stream:JEESubject:PhysicsTopic:W.E.P.Subtopic:Vertical circular motion

⏱ 2mℹ️ Source: ai-gemini

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