Question 3 [3/13]: Determine the tension P in the cable which will give the 100-lb block a steady acceleration of 5 ft/sec² up the incline.

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4. A uniform rod is free to rotate about Point A. The tram that is holding A is accelerating to the left at 4 m/s². Neglect air resistance. When the rod is in equilibrium, at what angle, 0, will the rod be oriented relative to vertical? a = 4 m/s² A 0 = ? Rod g m = 6 kg L = 0.3 m

A cart has a mass of 1.5 kg. It is given some initial push toward a sensor and is slowed by a hanging mass which makes the cart turn around and speed up as it returns to its original position. This situation is illustrated in the attached image. If the acceleration towards the sensor is 0.5 m/s2 and the accaleration away from the sensor is 0.15 m/s2,  a. draw the free body diagrams for the cart moving towards the sensor and away from the sensor. b. Write Newton's law for both situations and solve for the frictional force and for the force from the hanging mass.