Derive an expression for the maximum angle the string swings


A bullet is fired horizontally at a block of wood that is suspended by a string. The bullet strikes the block and is embedded in the wood. As a result of the collision the block and bullet system swings (like a pendulum) on them end of the string. Express all answers in terms of the initial speed of the bullet, mass of the bullet, mass of the block of wood, length of the string, and gravitational acceleration.

The speed of the bullet and block of wood after collision?

Derive an expression for the maximum angle the string swings with respect to the vertical axis after the collision.

Suppose that the string, suspending the block of wood, is hung so that it can move in a complete vertical circle. What is the minimum speed of the bullet before the collision that will ensure that the block of wood makes on complete revolution?

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Physics: Derive an expression for the maximum angle the string swings
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