PHYS 2011: Questions and Problems for Unit C Test Problem 2: Assume negligible f

Question

PHYS 2011: Questions and Problems for Unit C Test Problem 2: Assume negligible friction between the crate and the surface. In both situations, a man exerts a300 N force on a crate that has a mass of 50 kg. The angle in both scenarios is 30 degrees. F 300N Draw two free-body diagrams with the crate as the object of interest-one for each scenario. Label the individual forces that act on the crate clearly A. B. Separately for each situation, state whether the mormal force is equal to, greater than, or less than the weight force? Explain your reasoning.

Explanation / Answer

here,

for 1)

force exerted , F = 300 N

m = 50 kg

theta = 30 degree

the normal force , N = m *g - F * sin(theta)

N = 50 * 9.81 - 300 * sin(30) = 340.5 N

N < mg

so, the normal force is less than the weight

for 2

for inclined

Normal force , N = m * g * cos(theta) = 424.8 N

here also N < mg

so, the normal force is less than the weight

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