Chapter 13, Problem 74P

The box with a weight of 6 lb slides down the smooth surface that has a circular portion AB. If the speed of the box is 8 ft/sec at A, calculate the magnitude of the normal force acting on the box at C. Present your answer in lb using 3 significant figures. The following relations may be useful: sin(A + B)=sin A c ·cos B±cos A-sin B cos(A + B) = cos A cos B sin A-sin B 45° B 0=30° 20 ft 8 ft/s A 45°

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 sports car has a mass of 4000 Kg, and while it is traveling at 35 m/s the driver causes it to accelerate at 7 m/s². If the drag resistance on the car due to the wind is F, = (1.3v) N, where v is the velocity in m/s, determine the power supplied to the engine at this instant. The engine has a running efficiency of e= 0.60. F,

The 245-kg glider Bis being towed by airplane A, which is flying horizontally with a constant speed of v = 183 km/h. The tow cable has a length r = 59 m and may be assumed to form a straight line. The glider is gaining altitude and when e reaches 14°, the angle is increasing at the constant rate 0 = 8 deg/s. At the same time the tension in the tow cable is 2370 N for this position. Calculate the aerodynamic lift L and drag D acting on the glider. Assume o = 10°. D B A

The constant 8-N force is pulling the 2-kg crate across the horizontal surface. If the coefficient of kinetic friction between the crate and the surfce is 0.3, determine the time required to increase the speed v of the crate from 3 m/s to 12 m/s. 8 N 30° 2 kg He =0.3

The roller coaster car has a mass of 700 kg, including its passenger. If it starts from the top of the hill A with a speed v A = 3 m/s, determine the minimum height h of the hill crest so that the car travels around the inside loops without leaving the track. Neglect friction, the mass of the wheels, and the size of the car. What is the normal reaction on the car when the car is at B1. find the  Max g-force on passenger, bank angle2. the force required to slow down the motion and the time the force is applied must be determined to bring the coaster to rest.3. The maximum G-load  experienced by a person should be no more than 5 g

The super-container vessel has a total mass displacement of 23000 long tons. This vessel towed by a tugboat with α=20⁰ angle with horizontal. If a constant tension is applied as F=320 kN by the tugboat, please calculate the time to bring the vessel to a speed of 2 knot from the rest.  At these low speeds, please neglect the hull resistance that created by the motion.  Note:  (1 long tons = 1016.05 kg, 1 knot=1.151 mi/hr= 0.5144 m/s)

The 5-lb collar slides on the smooth rod, so that when it is at 4 it has a speed of 10 ft/s. If the spring to which it is attached has an unstretched length of 3 ft. and a stiffness of k = 10 lb/ft, determine the normal force on the collar and the acceleration of the collar at this instant. Solution: 2 ft 10 ft/s

The 15-kg collar has a velocity of 10 m/s at A while travelling towards B along the smooth guide. The spring which is connected to the collar has an unstretched length of 125 mm and stiffness k= 57 N/m. Determine the collar's speed when it reaches point B, which is located just before the end of the curved portion of the rod. Take point B as the datum.