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Please answer both parts and show work ROBLEM 2A (16 pts) uniform bar 2.0 m long with a mass m = 20 kg is supported

Please answer both parts and show work

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ROBLEM 2A (16 pts) uniform bar 2.0 m long with a mass m = 20 kg is supported by a cable and a hinge as shown in the figure. The cable makes an angle of 30 with the bar as shown. The forces acting on the bar are drawn in the diagram, and note that for the force that the hinge exerts on the bar, its components (Fix and Fry) are drawn separately. T (A) (7 pts) Use a torque equation to calculate the tension in the cable. 30 Hint: Which point of rotation can you choose that removes the Fry most number of unknowns? (B) (4 pts) Using Newton's 2"d law in the x-direction, calculate the x component of the force the hinge exerts on the bar. Fix mg (C) (5 pts) Using Newton's 2"d law in the y-direction, calculate the y component of the force the hinge exerts on the bar. Hint: For (B) and (C) it may be helpful to condense the bar to a single point and redraw all the forces acting on it (i.e., draw a free body diagram). T = Fix = Fhy = A car drives over a nail and develops a slow leak in one of the tires. At this time, the pressure inside the tire is 2.5 atm. After driving with the slow leak for an hour, one third of the air leaks out while the temperature of the air inside the tire increases PROBLEM 2B (7 pts) from 20 C to 75 C. What is the new pressure (in atm) in the tire assuming its total volume doesn't change? Pressure =

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