PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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2. The car, having a mass of 1000 kg, is traveling horizontally along a 20° banked track which is
circular and has a radius of curvature of p = 100 m. If the coefficient of static friction between
the tires and the road is us = 0.3, determine the minimum and maximum constant speed at
which the car can travel without sliding down and up the slope. Neglect the size of the car.
e= 20°
2. The flatbed railway car travels at the constant speed of 60 km/h around a curve of radius
55 m and bank angle 15°. Determine the smallest static coefficient of friction between
the crate and the car that would prevent the crate of mass M from sliding.
R = 55 m
15°
Determine the steady-state angle α if the constant force P = 180 N is applied to the cart of mass M = 9 kg. The cart travels on the slope of angle θ = 16°. The pendulum bob has mass m = 3 kg and the rigid bar of length L = 1.2 m has negligible mass. Ignore all friction.
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- The pipe has a mass of 800 kg and is being towed behind a truck. If the angle 6 = 30°, determine the acceleration of the truck and the tension in the cable. The coefficient of kinetic friction between the pipe and the ground is µg = 0.1. a, 45° 0.4 m Carrow_forwardThe racing car has a mass of 690 kg and a center of mass at G. If there is no slip, determine the value of the minimum coefficient of static friction required between the wheels and the ground for the car to achieve an acceleration of a = 5.6 m. /s². 250 mm ZIRE A GOFF 1625 mm G 1385 mm- GOFAST Barrow_forwardIf block A and wedge B have masses. What is the mass of block C if it is on the verge of slipping? All surfaces have a coefficient of static friction of μ. The cable connecting wedge B and block C is parallel with the incline. Use g = 9.806 m/s². Indicate the direction of impending motion for each FBD. μ = 0.15Mass of A = 64kgMass of B = 130 kgα = 22°β = 12°arrow_forward
- The block weighs 80 pounds. A cable is connected to itsupper left corner and passes over a fixed post. Thecoefficients of friction are μB = 0.3 for the block and theground and μP = 0.2 for the post and the cable. Determinethe minimum force T that will cause the system to move(either tip or slide - you must show which happens first).Take a = 2.5’ and b = 6’.arrow_forward2. The 150-1b man lies against the cushion for which the coefficient of static friction is µ̟ = 0.5. If he rotates about the z axis with a constant speed of v = smallest angle 0 of the cushion at which he will begin to slip off. 30 ft/s, determine the -8 ft Figure: 13 PO63-064arrow_forwardr The bottle shown rests at a distance of 3 feet from the centre of the horizontal platform. If the coefficient of static friction between the bottle and the platform is us speed the bottle can attain before it flies off. Assume the disc increases in speed gradually until the bottle starts to move relative to the disc. 0.2, determine the maximum tangential ft V = Sarrow_forward
- Determine the steady-state angle a if the constant force P = 170 N is applied to the cart of mass M = 43 kg. The cart travels on the slope of angle 0 = 17°. The pendulum bob has mass m = 9 kg and the rigid bar of length L = 1.1 m has negligible mass. Ignore all friction. M L m Answer: a = iarrow_forwardF 15° 0.6 m 1 m The crate has a mass of 58 kg and rests on the inclined platform of the truck. Determine the minimum acceleration that will cause the crate to tip over or slide relative to the forklift. What is the magnitude of this acceleration? The coefficient of static friction between the packaging and the truck is µs= 0.7.arrow_forwardIf the 50-kg wooden box was pulled from rest to a distance of 6 m up an inclined plane, determine the magnitude of the force P acting on the crate. The coefficient of kinetic friction between crate and ground is µ, = 0.25. Time the motion is 4 s. %3D 30° 30°arrow_forward
- Nonearrow_forwardThe 15-kg bar is released from rest while in the position shown and its end rollers travel in the vertical-plane slot shown. If the speed of roller A is 3.23 m/s as it passes point C, determine the work done by friction on the system over this portion of the motion. The bar has a length /= 775 mm. Assume 8 = 34° 0 Barrow_forwardDetermine the steady-state angle a if the constant force P = 170 N is applied to the cart of mass M = 27 kg. The cart travels on the slope of angle 0 = 22°. The pendulum bob has mass m = 8 kg and the rigid bar of length L = 1.5 m has negligible mass. Ignore all friction. m P Answer: a = i α 2-1 M Ө Oarrow_forward
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