The vertical motion of mass a is defined by the relation x 5 10 sin 2t 1 15 cos 2t 1 100, where x and t are expressed in millimeters and seconds, respectively. determine (a) the position, velocity, and acceleration of a when t 5 1 s, (b) the maximum velocity and acceleration of a.

Explanation:

Given that,

The vertical motion of mass A is defined by the relation as :

At t = 1 s

x = 115.33 mm

(a) We know that,

Velocity,

At t = 1 s

v = 18.94 mm/s

We know that,

Acceleration,

At t = 1 s

(b) For maximum velocity,

t = 45 seconds

For maximum acceleration,

t = 61.8 seconds

Hence, this is the required solution.

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