A paperweight is placed on a tray and the combination is set into horizontal oscillatory motion with a frequency of f= 1.22 Hz. If the paperweight begins slipping when the amplitude of the motion is 5.00 x 102 m, determine the coefficient of static friction between the paperweight and the tray.

Respuesta :

When a paperweight and tray are placed together and put into a horizontal oscillating motion, the coefficient of static friction between them is 0.2

Given  frequency of motion (f) = 1.22 Hz.

the amplitude of the motion (A) =  5.00 x 10^-2 m

The coefficients of the normal force applied by the surface are determined as friction force.

Force of friction (Fr) = μ x normal force (F)

coefficient(μ) = F/Fr

we know that Fr = kx = mω^

2A anf F = mg

mω^

2A  = μmg

μ = ω^

2A/g  and ω = 2πf

μ = (2x3.14x1.22)^2 x 5x10^-2/9.8 = 0.2

Hence the coefficient = 0.2

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