The problem that follow involve straight-line motion. The time t is in seconds unless othe...

The problem that follow involve straight-line motion. The time t is in seconds unless otherwise stated.

Problem

The bar rotates in the x-y plane with constant angular velocity ω0= 12 rad/s. The radial component of acceleration of the collar C (in m/s2) is given as a function of the radial position in meters by ar= –8r. When r = 1 m, the radial component of velocity of C is vr = 2 m/s. Determine the velocity of C in terms of polar coordinates when r = 1.5 m.

Strategy: Use the chain rule to write the first term in the radial component of the acceleration as