1a. The function x = (5.1 m) cos[(4πrad/s)t + π/4 rad] gives the simple harmonic motion...

1a. The function x = (5.1 m) cos[(4πrad/s)t + π/4 rad]
gives the simple harmonic motion of a body. At t = 3.2 s, what are the (a) displacement, (b) velocity, (c) acceleration, and (d) phase of the motion? Also, what are the (e) frequency and (f) period of the motion?

1b. A block of mass M = 5.10 kg, at rest on a horizontal frictionless table, is attached to a rigid support by a spring of constant k = 5600 N/m. A bullet of mass m = 9.30 g and velocity of magnitude 520 m/s strikes and is embedded in the block (the figure). Assuming the compression of the spring is negligible until the bullet is embedded, determine (a) the speed of the block immediately after the collision and (b) the amplitude of the resulting simple harmonic motion.

1c.

The pendulum in the figure consists of a uniform disk with radius r = 14.0 cm and mass 470 g attached to a uniform rod with length L = 350 mm and mass 270 g. (a) Calculate the rotational inertia of the pendulum about the pivot point. (b) What is the distance between the pivot point and the center of mass of the pendulum? (c) Calculate the period of oscillation.

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genius_generous answered 2 years ago

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