Question

X=(-60)sin(0.1t)+(-3)cos(0.1t)

Find the location of the weight 6 seconds after it is set in motion.

Answer 1

The location of the weight is

x = -36.3519

Explanation:

We have to find the value of x at t = 6s

Since

x = (-60)sin(0.1t) + (-3)cos(0.1t)

at t= 6,

NOTE: we assume that the angle is in radians

x = (-60)sin(0.1(6)) + (-3)cos(0.1(6))

x = (-60)(0.5646) + (-3)(0.8253)

x = -33.876 - 2.4759

x = -36.3519