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phys_2C_review - OSCILLATIONS 1 At t = 0 the displacement...

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OSCILLATIONS 1. At t = 0, the displacement x(0) of the block in a linear oscillator is -8.50 cm. The block s velocity v(0) then is -0.920 m/s, and its acceleration a(0) is +47.0 m/s 2 . a)What is the angular frequency? b)What are the phase constant ! and amplitude A?
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2. An oscillator consists of a block attached to a spring (k = 400 N/m). At some time t, the position (measured from the system s equilibrium location), velocity, and acceleration of the block are x = 0.100 m, v = -13.6 m/s, and a = -123m/s 2 . Calculate a)the frequency of oscillation, b)the mass of the block, and c) the amplitude of the motion.
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3. A block of mass M, at rest on a horizontal frictionless table, is attached to a rigid support by a spring of constant k. A bullet of mass m and velocity v strikes the block. The bullet is embedded in the block. Determine a)the speed of the block immediately after the collision and b) the amplitude of the resulting simple harmonic motion. FIGURE
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4. What is the length of a simple pendulum that marks seconds by completing a full swing from left to right and then back again every 2.0 s?
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