Hwk7A - length as a function of time is shown in the Fgure...

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PHYS 153 Homework 7A Problem 1 The position of a 50 g oscillating mass is given by x ( t ) = (2 . 0 cm) cos (10 t - π/ 4), where t is in second. Determine: (a) The amplitude. (b) The period. (c) The spring constant. (d) The phase constant. (e) The initial conditions. (f) The maximum speed. (g) The total energy. (h) The velocity at t = 0 . 40 s Problem 2 A 1 . 0 kg block oscillates on a spring with spring constant 20 N / m. At t = 0 s the block is 20 cm to the right of the equilibrium position and moving to the left at a speed of 100 cm / s. Determine the period of oscillation and draw a graph of position versus time. Problem 3 Astronauts in space cannot weigh themselves by standing on a bathroom scale. Instead, they determine their mass by oscillating on a large spring. Suppose an astronaut attaches one end of a large spring to her belt and the other end to a hook on the wall of the space capsule. A fellow astronaut then pulls her away from the wall and releases her. The spring’s
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Unformatted text preview: length as a function of time is shown in the Fgure below. (a) What is her mass if the spring constant is 240 N / m? (b) What is her speed when the springs length is 1 . 2 m? 1.4 1.2 1.0 0.8 0.6 0.4 0.2 0.0 L (m) 6 5 4 3 2 1 t (s) igure 1: ig. for Problem 3 1 - 1 Problem 4 A 100 g ball attached to a spring with spring constant 2 . 5 N / m oscillates horizontally on a frictionless table. Its velocity is 20 cm / s when x =-. 50 cm. (a) What is the amplitude of oscillation? (b) What is the balls maximum acceleration? (c) What is the balls position when the acceleration is maximum? (d) What is the speed of the ball when x = 3 . 0 cm? Problem 5 A 300 g oscillator has a speed of 95 . 4 cm / s when its displacement is 3 . 0 cm and 71 . 4 cm / s when its displacement is 6 . 0 cm. What is the oscillators maximum speed? 1 - 2...
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This note was uploaded on 04/26/2009 for the course PHYS 153 taught by Professor Measday during the Winter '08 term at UBC.

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Hwk7A - length as a function of time is shown in the Fgure...

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