The figure below shows an object of mass The figure below shows an object of mas

Question

The figure below shows an object of mass

The figure below shows an object of mass m1 = 1.1 kgon an inclined surface. The angle of the inclined surface is ? = 29 degree with the horizontal. The object m1 is connected to a second object of mass m2 = 3.05 kgon a horizontal surface below an overhang that is formed by the inclined surface. Further, an external force of magnitude Fext = 18 Nis exerted on the object with mass m1. We observe both objects accelerate. Assuming the surfaces and the pulley are frictionless, and the pulley and the connecting string are massless, what is the tension in the string connecting the two objects?

Explanation / Answer

Fext - m1*g*sin29 - T = m1 a

for m2

T= m2 a

Fext - m1 g sin29 - m2 a = m1 a

a = (Fext-m1 g sin29)/(m1+m2) = (18-(1.1*9.8*sin29)) / (1.1+3.05) = 3.078 m/s^2

T = m2 a = 9.34 N

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