Chapter 13, Problem 73P

The 8-kg block slides down the smooth ramp AB given by the function y = 0.2e*. If the block has a speed v = 1.5 m/s when y = 0.2 m, determine: %3D (a) The normal reaction the ramp exerts on the block at the instant y = 0.2 m. (b) The acceleration of the block at the instant y = 0.2 m. Note: Calculate the radius of curvature and then use n-t coordinates to solve this problem. A y = 0.2e"

The rod of the fixed hydraulic cylinder is moving to the left with a speed of 94 mm/s and this speed is momentarily increasing at a rate of 440 mm/s each second at the instant when SA = 355 mm. Determine the tension in the cord at that instant. The mass of slider Bis 0.77 kg, the length of the cord is 950 mm, and the effects of the radius and friction of the small pulley at A are negligible. Find results for cases (a) negligible friction at slider B and (b) p = 0.42 at slider B. The action is in a vertical plane. 220 mm Answers: 0.77 kg B (a) Negligible friction: T= i (b) Uk=0.42: T= i N N

Determine the speed v which the 555-kg four-man bobsled must have in order to negotiate the turn without reliance on friction. Also find the net normal force N exerted on the bobsled by the track. Answers: V= N = i 30 -p=54 m m/s KN

At the instant shown the 40 kg block A is moving down the plane, while being attached to the 8 kg block B. If the coefficient of kinetic friction between the block and the incline and other surface is µs = 0.2 and µx = 0.15, determine the acceleration of block B, and the tension in the cord. Neglect the mass of the pulleys and cables.

The spring has a stiffness k = 50 lb/ft and an unstretched length of 2 ft. As shown, it is confined by the plate and wall using cables so that its length is 1.5 ft. A 5-lb block is given a speed A when it is at A, and it slides down the incline having a coefficient of kinetic friction µ = 0.2. It strikes the plate and pushes it forward 0.25 ft before stopping. Neglect the mass of the plate and spring. (Figure 1), Figure k = 50 lb/ft 1.5 ft 3 ft

The 600-kg bar B, originally at rest, is towed over a series of small rollers. The motor M is drawing in the cable at a rate of v = (0.3 t2) m/s, where t is in seconds. Determine the force in the cable when t = 2 s

2. The 25-kg box is launched from the position shown along the rough horizontal plane with the velocity of 8 m/s. Determine the distance r that the box will travel before the spring stops the forward motion. The coefficient of kinetic friction between the box and the plane is uk = 0.2, and the spring constant is k = 150 N/m.

The 5.27 kg collar B rests on the frictionless arm AA! The collar is held in place by the rope attached to drum D and rotates about O in a horizontal plane. The linear velocity of the collar B is increasing according to v = 0.2 t2 where v is in m/s and tis in seconds. Find the tension in the rope and the force of the bar on .the collar if 5 s,r= 0.558 m and 0 = 58° A A' D

The baggage truck A shown in the photo below has a weight of 900 lb and tows a 550-lb cart B and 325lb cart C. For a short time the driving frictional force developed at the wheels of the truck is 40t lb,where t is in seconds. If the truck starts from rest, determine its speed in 2 seconds. Also, what is thehorizontal force acting on the coupling between the truck and the cart B at this instant?