Chapter 15, Problem 141P

At the instant r = 2 m, the 5-kg disk is given a speed of v= 5 m/s, perpendicular to the elastic cord. Determine the speed of the disk at the instant r=1 m. The disk slides on the smooth horizontal plane. Neglect its size. The cord has an unstretched length of 0.5 m. K 20 N/m

The 0.8-Mg car travels over the hill having the shape of a parabola. If the driver maintains a constant speed of 9 m/s, determine both the resultant normal force and the resultant frictional force that all the wheels of the car exert on the road at the instant it reaches point A. Neglect the size of the car.

The 56.28 kg crate is hoisted up the 0 = 27° incline by the pulley system and motor M. If the crate starts from rest and, by constant acceleration, attains a speed of 8.17 m/s after traveling 7.84 m along the plane, determine the supplied power to the motor if the crate has moved 8 m and the coefficient of kinetic friction between the plane and the crate is Hk = 0.3. Neglect friction along the plane. The motor has an efficiency of 0.691. M

The small 0.5-kg block slides with a small amount of friction on the circular path of radius r = 3.1 m in the vertical plane. If the speed of the block is 5.6 m/s as it passes point A and 3.9 m/s as it passes point B, determine the normal force exerted on the block by the surface at each of these two locations. Assume 8 = 39º. Answers: NA = B NB = i i A N !N

The 50-kg crate is hoisted up the 30° incline by the pulley system and motor M. If the crate starts from rest and by constant acceleration attains a speed of 7.3 m/s after traveling 11.4 m along the plane, determine the power in kW that must be supplied to the motor at this instant. Neglect friction along the plane. The motor has an efficiency € = 0.84. Note: Do not include the unit in your answer. M 30°

The elevator E and its freight have a total mass of 400kg. Hoisting is provided by the motor M and the 150-kg block C. If the motor has an efficiency of ε =0.85, determine the power that must be supplied to themotor when the elevator is hoisted upwards at aconstant speed of VE = 4 m/s.   Please show every single step of the process and the free body diagrams thanks

The box having a weight of 40 N is moving to the right along a roughsurface. When the package is at point A, its speed is 5m/s. The spring ofstiffness k=200 N/m brings the box to rest. It is known that the frictionbetween the box and the surface is 0.3, determine the maximum force inthe spring. Neglect the mass of the end plate attached to the spring.

The spring is not stretched or compressed when “s=0.8m" and the 11 kg block which is subjected to a force of 105 N has a speed of 5.5 m/s down the smooth plane. Using "THE PRINCIPLE OF WORK AND ENERGY", find the distance "s" when the block STOPS. k = 200 N/m 5 m/s F = 100 N 30°

The block has a mass of 50 kg and rests on the surface of the cart having a mass of 75 kg. If the spring which is attached to the cart and not the block is compressed 0.2 m and the system is released from rest, determine the speed of the block with respect to the cart after the springg becomes undeformed. Neglect the mass of the wheels and the spring in the calculation. Also the neglect friction. Take k = 300N/m,