PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 13, Problem 66P
To determine
The minimum speed at which motorcyclist must travel when
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A motorcyclist in a circus rides his motorcycle within the confines of the hollow sphere. The coefficient of static friction between the wheels of the motorcycle and the sphere is μ = 0.5. The mass of the motorcycle and rider is 250 kg, and the radius of curvature to the center of gravity is ρ = 20 m. Neglect the size of the motorcycle for the calculation.
(a) Determine the minimum speed at which he must travel if he is to ride along the wall when θ = 90∘.
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Chapter 13 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 13 - Prob. 1FPCh. 13 - If motor M exerts a force of F = (10t2 + 100) N on...Ch. 13 - A spring of stiffness k = 500 N/m is mounted...Ch. 13 - Prob. 4FPCh. 13 - Block B rests upon a smooth surface. If the...Ch. 13 - The 6-lb particle is subjected to the action of...Ch. 13 - If blocks A and B of mass 10 kg and 6 kg...Ch. 13 - Determine the time needed to pull the cord at B...Ch. 13 - Prob. 12PCh. 13 - Block A has a weight of 8 lb and block B has a...
Ch. 13 - The 2-Mg truck is traveling at 15 m/s when the...Ch. 13 - The motor lifts the 50-kg crate with an...Ch. 13 - Prob. 18PCh. 13 - Prob. 19PCh. 13 - The 50-kg block A is released from rest. Determine...Ch. 13 - Prob. 28PCh. 13 - Prob. 29PCh. 13 - Prob. 31PCh. 13 - The tractor is used to lift the 150-kg load B with...Ch. 13 - Prob. 35PCh. 13 - Prob. 39PCh. 13 - The 400-lb cylinder at A is hoisted using the...Ch. 13 - Prob. 43PCh. 13 - Prob. 46PCh. 13 - Prob. 47PCh. 13 - Prob. 48PCh. 13 - Prob. 51PCh. 13 - The block rests at a distance of 2 m from the...Ch. 13 - Determine the maximum speed that the jeep can...Ch. 13 - A pilot weighs 150 lb and is traveling at a...Ch. 13 - The sports car is traveling along a 30 banked road...Ch. 13 - If the 10-kg ball has a velocity of 3m/ s when it...Ch. 13 - Prob. 12FPCh. 13 - Prob. 53PCh. 13 - The 2-kg block B and 15-kg cylinder A are...Ch. 13 - Determine the maximum constant speed at which the...Ch. 13 - Cartons having a mass of 5 kg are required to move...Ch. 13 - The 2-kg spool S fits loosely on the inclined rod...Ch. 13 - Prob. 59PCh. 13 - Prob. 60PCh. 13 - At the instant B = 60, the boys center of mass G...Ch. 13 - Prob. 62PCh. 13 - Prob. 66PCh. 13 - The 150-lb man lies against the cushion for which...Ch. 13 - The 150-lb man lies against the cushion for which...Ch. 13 - Prob. 76PCh. 13 - Prob. 80PCh. 13 - Prob. 81PCh. 13 - Determine the constant angular velocity of the...Ch. 13 - The 0.2-kg ball is blown through the smooth...Ch. 13 - The 2-Mg car is traveling along the curved road...Ch. 13 - The 0.2-kg pin P is constrained to move in the...Ch. 13 - Determine the magnitude of the resultant force...Ch. 13 - The path of motion of a 5-lb particle in the...Ch. 13 - The boy of mass 40 kg is sliding down the spiral...Ch. 13 - Using a forked rod, a 0.5-kg smooth peg P is...Ch. 13 - The collar has a mass of 2 kg and travels along...Ch. 13 - The forked rod is used to move the smooth 2-lb...Ch. 13 - Prob. 109PCh. 13 - Prob. 110PCh. 13 - Prob. 113PCh. 13 - A communications satellite is in a circular orbit...Ch. 13 - Prob. 115PCh. 13 - Prob. 117PCh. 13 - Prob. 118PCh. 13 - Prob. 119PCh. 13 - The rocket is in free flight along an elliptical...Ch. 13 - Prob. 123PCh. 13 - Prob. 124PCh. 13 - Prob. 129PCh. 13 - Prob. 130PCh. 13 - Prob. 131PCh. 13 - The rocket is traveling around the earth in free...Ch. 13 - Prob. 1RPCh. 13 - Prob. 2RPCh. 13 - Block B rests on a smooth surface. If the...Ch. 13 - Prob. 4RPCh. 13 - Prob. 5RPCh. 13 - The bottle rests at a distance of 3ft from the...Ch. 13 - Prob. 7RP
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- The 5-lb packages ride on the surface of the conveyor belt as shown in (Figure 1). The coefficient of static friction between the belt and a package is 0.45. Figure 0. 6 in. 6 If the belt starts from rest and its speed increases to 2 ft/s in 2 s, determine the maximum angle so that none of the packages slip on the inclined surface AB of the belt. Express your answer in degrees to three significant figures. 0 = Submit Part B Avec b = Request Answer At what angle do the packages first begin to slip off the surface of the belt after the belt is moving at its constant speed of 2 ft/s? Neglect the size of the packages. Express your answer in degrees to three significant figures. IVE| ΑΣΦ | 41 ? vec ? Oarrow_forwardThe crate has a mass of 80 kg and is being towed by a chain which is always directed at 70° from the vertical. The towing force is defined by the equation: P = 20t², where P is in Newtons and t is in seconds. If the coefficient of static friction is µ = 0.4 and the coefficient of kinetic friction is k 0.3, evaluate the = time when the crate's acceleration is 1.7473 m/sec². Apply Newton's second law of motion.arrow_forward3. Car A has a mass of 1.4 Mg with center of gravity at point G as shown in Fig. 3. If car B exert a 2 kN, determine whether the force is sufficient to move car A. The static and dynamic friction coefficients between tyre and the road are μ, = 0,5 and μ = 0,35. Assume the surface of car B bumper to be frictionless. 0.5 m 0.8 m 0.8 mi 2 kN 0.4 m Gambar 3. Tyre-Road frictionarrow_forward
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- r The bottle shown rests at a distance of r = 2.5 ft from the center of the horizontal platform. The coefficient of static friction between the bottle and the platform is μ = 0.25. The platform starts at rest, rad and then begins rotating at an accelerating rate of 0 = 0.8 $² Assuming the bottle doesn't tip over, after how many seconds does the bottle begin to slip? t = Sarrow_forwardMary and her sister are playing with a cardboard box on the neighborhood hill. Mary climbs into the box, the total mass of the box with Mary in it is 115 kg. The box starts at rest at the beginning of the incline. The hill is at an incline of 28 degrees with respect to the horizontal.The static and kinectic friction between the box and hill is 0.4 and 0.2 respectively. Assume that Mary is now in the box, but has not started to move. a. What is the gravitational force acting on the box and child system?b. What is the magnitude of the normal force acting on the box?c. What is the reaction force associated with the normal force found in the previous step.arrow_forwardh Can the statue be dragged without tipping? No Yes y = Movers are trying to set up an art gallery. They attempt to drag a human-size statue of a soda can with mass m = 120 kg by tying a rope around it. Determine if the movers can drag the statue along the floor without it tipping if the coefficients of static friction and kinetic friction are found to be μg = 0.38 and μ = 0.22, respectively. What is the maximum force the movers can apply without tipping the statue? The can has a height of h = 1.7 m and the rope is tied 1 m off the ground. Assume the statue to be a solid cylinder with radius r = 0.2 m and constant density. y F m 元 N Ftip If the movers can apply the force required for the statue to slip, where is the maximum height they should tie the rope to safely drag the statue?arrow_forward
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