Question

The vertical motion of mass A is defined by the relation x = cos(10t) - 0.1 sin(10t), where x and t are expressed in mm and seconds, respectively. Determine the position, velocity and acceleration of A when t = 0.4 s,

Answer 1

To determine the position, velocity, and acceleration of mass A at t = 0.4 s, plug t = 0.4 s into the given equation and evaluate x. Then, take the derivative of x with respect to t to find the velocity, and take the second derivative of x to find the acceleration.

Step-by-step explanation:

Given the equation x = cos(10t) - 0.1sin(10t), we can determine the position, velocity, and acceleration of mass A at t = 0.4 s.

To determine the position, plug in t = 0.4 s into the equation and evaluate x. To determine the velocity, take the derivative of x with respect to t, and then evaluate it at t = 0.4 s. To determine the acceleration, take the second derivative of x with respect to t, and then evaluate it at t = 0.4 s.

Using these steps, we can find the position, velocity, and acceleration of mass A at t = 0.4 s.