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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 rad/s ) t + /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 one-half 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 10-3 m and a maximum acceleration of magnitude 8.0 x 10 3 m/s 2 . The phase constant is /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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