a paint mixing machine shakes a can of apint by applying aforce of F(t)=60N cos

Question

a paint mixing machine shakes a can of apint by applying aforce of F(t)=60N cos (75s-1t). If the can of paint hasa mass of 3.5 kg., determine: a. its velocity as a function of time b. assuming the can is at rest at t= 0.0 sec., the maximumvelocity of the can and the time at which it occurs. a paint mixing machine shakes a can of apint by applying aforce of F(t)=60N cos (75s-1t). If the can of paint hasa mass of 3.5 kg., determine: a. its velocity as a function of time b. assuming the can is at rest at t= 0.0 sec., the maximumvelocity of the can and the time at which it occurs.

Explanation / Answer

Force F = 60 N cos 75t

Mass m = 3.5 kg

Accleration a = F / m

velocity v = integral a dt

              = 17.14 * { sin 75 t } / 75

             = 0.2285 sin 75 t

maximum velocity V max = 0.2285 m / s

Maximum velocity occured when sin 75 t = 1

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