Chapter 14, Problem 64P

A freight elevator, including its load, has a mass of 1.1 Mg. It is prevented from rotating due to the track and wheels mounted along its sides. If the motor M develops a constant tension T = 6.9 kN in its attached cable, determine the velocity of the elevator when it has moved upward 7.2 m starting from rest. Neglect the mass of the pulleys and cables.

The 150-lb car of an amusement partk ride is connected to a rotating telescopic boom. When r = 15 ft, the car is moving on a horizontal circular path with a speed of 30 ft/s. If the boom is shortened at a rate of 3 ft/s, determine the speed of the car when r = 10 ft. Also, find the work done by the axial for F along the boom. Neglect the size of the car and the mass of the boom.

The winding drum D is drawing in the cable at an accelerated rate of 4.5 m/s^2. Determine the cable tension if the suspended crate has a mass of 1000 kg.

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.

An automobile having a mass of 2000 kg travels up a 7 degree slope at a constant speed of v = 100 km/h. If mechanical friction and wind resistance are neglected, determine the power developed by the engine if the automobile has an efficiency ε = 0.65.

A constant tractive effort of 10 N is applied for 0.5 Hr, and total energy of 1 kWhr is consumed in doing so. Find the average velocity of the vehicle during this period.

A spring having original length of L1 is constricted by the 4 cords having length of L2. So, those cords keep spring compressed when there is nothing on the platform. Box having mass of m is placed on the platform, at the same time pushing platform further down by L3 meters. Afterwards, the platform is released from rest. Determine the height h the box rises in the air. Stiffness of spring is K=150 N/m. neglect the mass of the platform and the cords.

The 1.5 Mg car increases its speed uniformly from rest to 36 m/s in 8 s up the inclined road. Determine the maximum power that must be supplied by the engine, which operates with an efficiency of ε = 0.42. Also, find the average power supplied by the engine.   Please show every single step of the process thanks

9. An automobile having mass of 2 t travels up a 7° slope at constant speed 27 m/s. If mechanical friction and wind resistance are neglected, determine the power developed by the engine if the automobile has efficiency e = 0.65.