Question

PRACTICE IT Use the worked example above to help you solve this problem. (a) Find the amplitude, frequency, and period of motion for an object vibrating at the end of a horizontal spring if the equation for its position as a function of time is the following. * = (0.235 m) cos( A = T = (b) Find the maximum magnitude of the velocity and acceleration. "max = m/s a max = m/s2 (c) What are the position, velocity, and acceleration of the object after 1.20 s has elapsed?! y = m/s m/s2

Answer 1

Soth: 4) (a) a = (0.235m) cos ( ft) A = 0-235 m 2 Wor We 2011 da en este = 0.0625H2 If = 0.0625 HZ T= = =163. 15 V= dx = -0.235x3) Sin (1) -- 0.0923 Sin () max= 0.0923 m/s amax = dy = -0.092343] cos ) -- 0.0362 cos amax = 0.0362 m|42] () 11.203) = 0.235 Cos (x120) = 0.209 m [2= 0.209m V= -0.0923 Sin 1x1.20) --0.0419 mls. V=-0.0419 mls. a=-0.0362 COD 3x1,20) = - 0.0323m|92 a = -0.0323 m/821