Question 16 (10 points) A 10 0 m long uniform bar with a weight of 40 N is attached by a frictionless hinge to a wall and held horizontal by a rope that makes an angle 0 of 37 with the bar. X 10 kg 10 m a) Write down the conditions for equilibrium and draw a free body diagram for the hanging mass, and a freebody diagram for the bar. *Label the tension in the long rope Ty and the tension in the small rope holding the hanging mass T2 (4 pts) b) Use the equilibrium conditions to calculate the distance from the hinge, x, that the 10.0-kg mass should be suspended if the tension 7, in the long rope is 150 N? (6 pts) Write down your answer for the tension in the box, then upload your work to Test 3 Written Work drop box. O F F 62 F 1 1Listen SHM: Mass on a Spring An object is oscillating on a spring with a period of sols At time t= 0.00 s the object has zero speed and is at x - 8:30 cm. What is the acceleration of the object at t = 2.50 s? Show your work. 0.00 cm/s2 11.5 cm/s 2 14.9 cm/s 2 1.33 cm/52 0.784 cm/s 2 Question 15 (10 points) ) Listen A turbine blade rotates with angular velocity given by the equation: w(t) = 2.00 rad/s- 2.10 rad/$32. (a) Derive an expression for the angular acceleration a(t) of the blade as a function of time. Then calculate the angular acceleration of the blade at t = 3 s? (5pts) (b) Derive an expression for the angle as a function of time 0(t), and give the angular displacement, 40, during the interval t = 0 to t = 3s. (5 pts) Write down a brief description in the response box, but submit your written work to the Test 3 Written Work Dropbox for grading. Paragraph v BIUAEEV + v . . . F F 62 1 1 2 0 "TAB"