The masses of cylinders A and B of Fig. P3-16 are 40 kg and 75 kg, respectively.
ID: 581270 • Letter: T
Question
The masses of cylinders A and B of Fig. P3-16 are 40 kg and 75 kg, respectively. Determine the forces exerted on the cylinders by the inclined surfaces and the magnitude and direction of the force exerted by cylinder A on cylinder B when the cylinders are in equilibrium. Assume that all surfaces are smooth.
The masses of cylinders A and B of Fig. P3-16 are 40 kg and 75 kg, respectively. Determine the forces exerted on the cylinders by the inclined surfaces and the magnitude and direction of the force exerted by cylinder A on cylinder B when the cylinders are in equilibrium. Assume that all surfaces are snooth. 200 mm300 Fig. P3-16Explanation / Answer
As given in the question,
Ma = 40 kg, Mb = 75 kg
Tthe forces exerted on the cylinders by the inclined surfaces
On A: Ma*g cos 30° = 40*9.8 cos 30° = 339.48 N
On B: Mb*g cos 15° = 75*9.8 cos 15° = 709.96 N
For the magnitude and direction of the force exerted by cylinder A on cylinder B when the cylinders are in equilibrium,
F(A on B) = Mb*g sin 15° (cos 15°) - Ma*g sin 30° (cos 30°) = 14.01 N
Angle = 30° - 15° = 15° CW
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