Tin Friction

i need help tin this problem.?

A student wants to determine the coefficients of static friction and kinetic friction between a box and a plank. She places the box on the plank and gradually raises one end of the plank. When the angle of inclination with the horizontal reaches 30°, the box starts to slip, and it slides 2.4 m down the plank in 3.6 s at constant acceleration.
(a) What is the coefficient of static friction?

(a)
k m g cos30 = m g sin30

k = tan 30 = 0.577 coefficient of static friction

(b)
s = (1/2) a t^2

a =sqrt(2s)/t = sqrt(2*2.4)/3.6 = 0.609 m/s^2

a = F/m = (m g sin30 – k m g cos30) /m = g (0.5 – 0.866 k)
= 0.609 m/s^2

k =[ (0.609 / 9.8) -0.5 ] /- 0.866 = 0.506 coefficient of kinetic friction

AOSHIN CO. JAPAN 60′S TIN FRICTION PONTIAC GTO MONKEE-MOBILE 12 IN

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