Use Hamilton's equation of motion to derive the equation of motion of the Atwood's Machine shown in figure 1. Assume the pulley to be without friction and the rope to be inextensible. Also that the diameter of the pulley is much less than the length of the rope I. y 1-y т, m, Figure 1

How would I derive this equation from Newton’s second law?

A person pushes a box along the ground. The box has the force diagram shown below. Examine the force diagram to answer the following questions: a. Is the box in equilibrium? If so explain how you can tell. If not, explain why not.   b. If the person wants the box to move at constant velocity, should they adjust their pushing on the block? If so, explain how they should change their push. If not, explain why they should change nothing about their push

Please give me answers in 5min I will give you like sure

Fill in the data as you complete the lab. In the table, m represents mass and r represents the distance from the fulcrum. Use a zero or a dash (–) when there is no second object on one side of a problem. Include units with all data. The image of the balancing act is scenario 2.  The object on the right is called Mystery A.