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If motor M exerts a force of

F=(10t2+100)N on the cable, where t is in seconds, determine the velocity of the
25kg crate when
t=4s . The coefficients of static and kinetic friction between the crate and the plane are
μs=0.3 and 0.25
μk=0.25 . The crate is initially at rest.

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1 answer
  1. F = 10*4^2 + 100 = 260 N.

    Wc = m*g = 25 * 9.8 = 245 N. = Wt. of crate.

    Fk = uk*mg = 0.25 * 245 = 61.25 N. =
    Force of kinetic friction.

    a = Fn/m = (F-Fk)/m = (260-61.25)/25 =
    7.95 m/s^2.

    V = a * t = 7.95 * 4 = 31.8 m/s.

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