Hwk7B - outer ends of the springs are now attached to two...

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PHYS 153 Homework 7B Problem 1 A 0 . 500 kg mass on a spring has velocity as a functin of time given by v x ( t ) = (3 . 60 cm / s)sin ±( 4 . 71 s - 1 ) t - π/ 2 ² . What are (a) the period; (b) the amplitude; (c) the maximum acceleration of the mass; (d) the force constant of the spring? Problem 2 An object is undergoing SHM with period 0 . 300 s and amplitude 6 . 00 cm. At t = 0 the object is instantaneously at rest at x = 6 . 00 cm. Calculate the time it takes the object to go from x = 6 . 00 cm to x = - 1 . 50 cm. Problem 3 Two springs, each with unstretched length 0 . 200 m, but with diFerent force constants k 1 and k 2 , are attached to opposite ends of a block with mass m on a level, frictionless surface. The
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Unformatted text preview: outer ends of the springs are now attached to two pins P 1 and P 2 , 0 . 100 m from the original position of the ends of the spring (±igure below). Let k 1 = 2 . 00 N / m, k 2 = 6 . 00 N / m, and m = 0 . 100 kg. (a) ±ind the length of each spring when the block is in its new equilibrium position after the springs have been attached to the pins. (b) ±ind the period of vibration of the block if it is slightly displaced from its new equilibrium position and released. P 1 P 2 0.100 m 0.200 m 0.200 m 0.100 m m...
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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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