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5. Two heavy crates, ( mathrm{m}_{1} ) and ( mathrm{m}_{2} ), lie on different inclines with angles ( 18.0^{circ} ) and ( 33.0^{circ} ), respectively. A cable, which runs over a pulley, connects the crates. The masses of the cable and the pulley are negligible. Assume that each incline is frictionless and that the system is in equilibrium. The mass of ( m_{1} ) is ( 578 mathrm{~kg} ). (8 points) a. Determine the tension in the cable. b. Calculate the mass of ( mathrm{m}_{2} ) needed to keep the system in a state of equilibrium. c. Now suppose that the mass of ( mathrm{m}_{2} ) is ( 195 mathrm{~kg} ). The crates move to the left. The angles of the inclines and all other conditions are the same. Determine the magnitude of the acceleration of the crates.

          5. Two heavy crates, ( mathrm{m}_{1} ) and ( mathrm{m}_{2} ), lie on different inclines with angles ( 18.0^{circ} ) and ( 33.0^{circ} ), respectively. A cable, which runs over a pulley, connects the crates. The masses of the cable and the pulley are negligible. Assume that each incline is frictionless and that the system is in equilibrium. The mass of ( m_{1} ) is ( 578 mathrm{~kg} ). (8 points)
a. Determine the tension in the cable.
b. Calculate the mass of ( mathrm{m}_{2} ) needed to keep the system in a state of equilibrium.
c. Now suppose that the mass of ( mathrm{m}_{2} ) is ( 195 mathrm{~kg} ). The crates move to the left. The angles of the inclines and all other conditions are the same. Determine the magnitude of the acceleration of the crates.

5. Two heavy crates, ( mathrmm1 ) and ( mathrmm2 ), lie on different inclines with angles ( 18.0^circ ) and ( 33.0^circ ), respectively. A cable, which runs over a pulley, connects the crates. The masses of the cable and the pulley are negligible. Assume that each incline is frictionless and that the system is in equilibrium. The mass of ( m1 ) is ( 578 mathrm kg ). (8 points)
a. Determine the tension in the cable.
b. Calculate the mass of ( mathrmm2 ) needed to keep the system in a state of equilibrium.
c. Now suppose that the mass of ( mathrmm2 ) is ( 195 mathrm kg ). The crates move to the left. The angles of the inclines and all other conditions are the same. Determine the magnitude of the acceleration of the crates.

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