Inelastic Pendulum Collision

Question

A pendulum of mass m and length L is released from rest at an initial angle θ₀ with the vertical. At the lowest point of its swing, it collides perfectly inelastically with a stationary object of mass 2m. What is the maximum angle θ_max the combined system reaches after the collision?

Accepted Answer

$$	heta_{	ext{max}} = \arccos\left[1 - \frac{1-\cos	heta_0}{9}ight]$$

Answer

$$	heta_{	ext{max}} = \arccos\left(\frac{\cos	heta_0}{3}ight)$$

Answer

$$	heta_{	ext{max}} = \arccos\left(\frac{2}{3} + \frac{\cos	heta_0}{3}ight)$$

Answer

$$	heta_{	ext{max}} = \frac{	heta_0}{3}$$

Inelastic Pendulum Collision

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