Chapter 12, Problem 208P

Show that the girl at A can throw the ball to the boy at B by launching it at equal angles measured up or down from a 45° inclination. If VA = 10 m/s, determine the range R if this value is 15°, i.e., θ1 = 45° -15° = 30° and  θ2 = 45° + 15° = 60°. Assume the ball is caught at the same elevation from which it is thrown.

Neglect the diameter of the small pulley attached to body A and determine the magnitude of the total velocity of B if the velocity which body A has to the right is vA = 1.73 m/s, and the distances are x = 1.65 m and h = 1.03 m. Assume that the cable between B and the pulley remains vertical.

The distance y = 2.8 m. Find the upward velocity of A if the downward velocity of B is 3.8 m/s. Neglect the diameters of the pulleys. A 13 m B

The speedboat B is cruising to the north at 78 mi/hr when it encounters an eastward current of speed vC = 11 mi/hr but does not change its heading (relative to the water). Determine the subsequent velocity of the boat relative to the wind and express your result as a magnitude vrel and compass direction θ measured clockwise from north. The current affects the motion of the boat; the southwesterly wind of speed vW = 25 mi/hr does not.

12-209. The cord is attached to the pin at C and passes over the two pulleys at A and D. The pulley at A is attached to the smooth collar that travels along the vertical rod. Determine the velocity and acceleration of the end of the cord at B if at the instant s4 = 4 ft the collar is moving upward at 5 ft/s, which is decreasing at 2 ft/s². 12-210. The 16-ft-long cord is attached to the pin at C and passes over the two pulleys at A and D. The pulley at A is attached to the smooth collar that travels along the vertical rod. When sg = 6 ft, the end of the cord at B is pulled downward with a velocity of 4 ft/s and is given an acceleration of 3 ft/s?. Determine the velocity and acceleration of the collar at this instant. 3 ft 3 ft SR SA

The ball at A is kicked such that 0, = 45° . If it strikes the ground at B having coordinates x = 15 ft, y = - 9 ft, determine the speed at which it is kicked and the speed at which it strikes the ground. y=-004r?

The mine car "C" is being pulled up the incline using the motor "M" and the "rope and puney arrangement shown. Determine the speed "vp" at which the point "P" on the cable must be traveling toward the motor to move the car up the plane with a constant speed of v= 5 m/s. M Ans. vp = 15 m/s

The speedboat B is cruising to the north at 77 mi/hr when it encounters an eastward current of speed vc = 14 mi/hr but does not change its heading (relative to the water). Determine the subsequent velocity of the boat relative to the wind and express your result as a magnitude vrel and compass direction 0 measured clockwise from north. The current affects the motion of the boat; the southwesterly wind of speed vw = 26 mi/hr does not. 32 B Uw UC Answers: Vrel = i m %3D

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