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Unformatted text preview: Assigned Homework Problems on SHM 1) A body oscillates with SHM according to the equation x(t) = (6.0 m) cos [(3 π rad/s ) t + π /3 rad)] a) At t = 2 s, what are the displacement, velocity, acceleration? b) What are the frequency and period of the motion? 2a) When the displacement in SHM is onehalf the amplitude, what fraction of the total mechanical energy is kinetic? ( i.e. find f = K/E when x = A/2 ) 2b) At what displacement, in terms of the amplitude, is the total mechanical energy of the system half potential and half kinetic? ( i.e. Find F in x = FA when U = E/2 ) 3) A 10 g particle is undergoing SHM with an amplitude of 2 x 103 m and a maximum acceleration of magnitude 8.0 x 10 3 m/s 2 . The phase constant is – π /3 rad. a) Write an equation for the force on the particle as a function of time? b) What is the period of the motion? c) What is the maximum speed of the particle?...
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This note was uploaded on 05/14/2008 for the course PHYS 207 taught by Professor Georgopulos during the Spring '08 term at University of Delaware.
 Spring '08
 Georgopulos
 Physics, Acceleration, Work

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