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A 3.30 kg object hangs, at rest, on a 1.40 m long string attached to the...

A 3.30 kg object hangs, at rest, on a 1.40 m long string attached to the ceiling. A 109 g object is fired with a speed of 16 m/s at the 3.30 kg object, and the two objects collide and stick together in an inelastic collision. Write an equation for the motion of the system after the collision. Assume air resistance is negligible. (Assume the collision occurs at t = 0. Let θ be the angle between the initial position of the hanging mass and its position at time t. In your equation, let angles be in radians and time be in seconds. Do not include units in your answer. Use the following as necessary: t.)

θ(t) = _? rad

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