the figure above shows an object of mass m1 = 1.2 ... Question The figure below

Question

the figure above shows an object of mass m1 = 1.2 ... Question The figure below shows an object of mass m1 = 1.2 kg on an inclined surface. The angle of the inclined surface is ? = 33° with the horizontal. The object m1 is connected to a second object of mass m2 = 6.90 kg on a horizontal surface below an overhang that is formed by the inclined surface. Further, an external force of magnitude Fext = 19 N is 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

usning newton second law of motion

F = ma { m is mas of the object and a is acceleration)

F(total) = (M1 + M2)a

F = 19 N - M1g cos33 ( taking component of Mg along the inclined surface )

19 N -9.87 = (1.2 + 6.90 ) a

a = 1.12 m/s^2 { towards the direction of external force }

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