Chapter 12, Problem 176P

The roller coaster car travels down the helical path at constant speed such that the parametric equiations that define its position are             x = c sin kt , y = c cos kt, z= h - bt, where c, h and b are constants. Determine the magnitudes of its velocity and acceleration.

The standard test to determine the maximum lateral acceleration of a car is to drive it around a 200- ft-diameter circle painted on a level asphalt surface. The driver slowly increases the vehicle speed until he is no longer able to keep both wheel pairs straddling the line. If this maximum speed is 35 mi/hr for a 3000-lb car, determine its lateral acceleration capability an in g's and compute the magnitude F of the total friction force exerted by the pavement on the car tires. 100 ft

Determine the acceleration (ft/s2) of the bucket when t = 12 s if the bucket is hoisted by the rope that wraps around a drum wheel. The angular displacement of the wheel is e = 0.3 t3 + 13 t rad, where t is in seconds. 0.75 ft

Determine the radial acceleration and the normal force at point C given that m = 2 kg, K N/m, h = 4R, R velocity at A. m A = == 200 0.5 m and the particle has zero h ли K C R R B

The 250-N block rests upon a level plane for which fk = 0.2. It is pulled by force P = 100N inclined at 20o with the horizontal. Find the velocity of the block after it moves 20m starting from rest. the answer must be 3 decimal places.

The rod of the fixed hydraulic cylinder is moving to the left with a constant speed VA = 37 mm/s. Determine the corresponding velocity VB of slider B when SA = 500 mm. The length of the cord is 1890 mm, and the effects of the radius of the small pulley at A may be neglected. The velocity VB is positive if up. Assume h = 235 mm. Answer: VB = i B mm/s

The hoisting system shown is used to easily raise kayaks for overhead storage. Determine the velocity and acceleration of the kayak (positive if upward, negative if downward) when y = 76 in. if the winch M reels in cable at the constant rate i = 5 in./sec. Assume that the kayak remains level. The distance b = 66 in. M B Answers: V = 0.68 in./sec a = in./sec2

write the detail solution please

A ball of radius 10mm can move along the frictionless slider of length L=141mm. It’s motion is affected by the device on surface B since it is experiencing attraction to that surface. At t=0, it is positioned at point A. Starting at rest, determine its velocity (m/s) as it comes in contact with surface B, if the ball’s acceleration is defined by a=c/(L-x)2 where c=50.4 m3/s