The 50-lb load is hoisted by the pulley system and motor M. If the motor exerts a constant force of 30 lb on the cable, determine the power in hp that must be supplied to the motor if the load has been hoisted s = 10 ft starting from rest. The motor has an efficiency of 0.76.

The roller coaster car has a mass of 900 kg, including its passenger. It is released from rest at the top of the hill A. Neglect friction, the mass of the wheels, and the size of the car. Take hp = 19 m, PB = 9.5 m, hc = 14 m, and pc = 7 m. (Figure 1) Figure h hB B hc C BRE 1 of 1 Part A Determine the minimum height of the hill crest so that the car travels around both inside the loops without leaving the track. Express your answer to three significant figures and include the appropriate units. h = Submit Part B NB = Submit Part C 0 Nc = Value Submit What is the normal reaction on the car when the it is at B? Express your answer to three significant figures and include the appropriate units. μᾶ Request Answer Di μA Value Request Answer LO ☛ μA Units What is the normal reaction on the car when the it is at C? Express your answer to three significant figures and include the appropriate units. Value www Request Answer Units ? Units wwwww ? ?

A tugboat T having a mass of 19 Mg is tied to a barge B having a mass of 75 Mg. If the rope is "elastic" such that it has a stiffness of k=600kN/m, determine the maximum stretch in the rope during the initial towing. Originally both the tugboat and barge are moving in the same direction with speeds (vT)1= 15 km/h and (vB)1= 10 km/h, respectively. Neglect the resistance of the water.

Determine the kinetic energy of the system. Assume that neither cable slips on the pulley.