7) Two masses, pulley, incline: Two blocks of mass M and m are connected by a light rope that passes over a frictionless pulley. Mass m has acceleration a up, and mass M has the same acceleration a down the frictionless incline, which has an angle of inclination of , as shown. (See PSL 5.2,5,9) a) Draw FBDs for each mass. b) Solve for (i) the normal force on M, (ii) the tension in the rope, and (iii) the mass m (all in terms of the other parameters given above). c) If M = 10.0 kg, a = 0.250 m/s/s, 0 = 30.0°, what are the values of (i) the normal force on M, and (ii) the tension, and (iii) the mass m?

Principles of Physics: A Calculus-Based Text
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Chapter5: More Applications Of Newton’s Laws
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7) Two masses, pulley, incline: Two blocks of mass M and m are connected by a light rope that passes
over a frictionless pulley. Mass m has acceleration a up, and mass M has the same acceleration a down
the frictionless incline, which has an angle of inclination of , as shown. (See PSL 5.2,5,9)
a) Draw FBDs for each mass.
b) Solve for (i) the normal force on M, (ii) the tension in the rope, and (iii) the mass m (all in terms of
the other parameters given above).
c)
If M = 10.0 kg, a = 0.250 m/s/s, 0 = 30.0°, what are the values of (i) the normal force on M, and
(ii) the tension, and (iii) the mass m?
fm
Transcribed Image Text:7) Two masses, pulley, incline: Two blocks of mass M and m are connected by a light rope that passes over a frictionless pulley. Mass m has acceleration a up, and mass M has the same acceleration a down the frictionless incline, which has an angle of inclination of , as shown. (See PSL 5.2,5,9) a) Draw FBDs for each mass. b) Solve for (i) the normal force on M, (ii) the tension in the rope, and (iii) the mass m (all in terms of the other parameters given above). c) If M = 10.0 kg, a = 0.250 m/s/s, 0 = 30.0°, what are the values of (i) the normal force on M, and (ii) the tension, and (iii) the mass m? fm
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