PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Find the value s so that the worker can climb the ladder without causing it to slip. The
weight of the worker is 90-kg and neglect the weight of the ladder. The ladder has a small
roller at the top and at the ground the coefficient of static friction is 0.25. The center of
mass of the worker is directly above her feet.
B
4 m
1.5 m
The light bar is used to support the
50-kg block in its vertical guides. If
the coefficient of static friction is
0.30 at the upper end of the bar and
0.40 at the lower end of the bar, find
the friction force acting at each end
for x = 75 mm. Also find the maximum
value of x for which the bar will not
slip
50 kg
A
300 mm
The three identical rollers are stacked on a horizontal surface as shown. If the coefficient of static friction µ is the same for all pairs of
contacting surfaces, find the minimum value of μs for which the rollers will not slip.
-
Answer: Us=
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- The figure shows a part of a machine used to crush recycled cans. Link ABC is attached to the ground at pin A and link BD is attached to the piston D using also a pin connection. When α=45°, θ=55°, and β=15°, the machine is about to start moving, i.e. impending motion. If the coefficient of static friction and kinetic friction between the piston D and the wall are μs=0.25 and μk=0.2 respectively, find the magnitude of force applied to the cans by the piston for P=200 kN.arrow_forwardThe disk clutch is used in standard transmissions of automobiles. If four springs are used to force two plates A and B together, determine the force in each spring required to transmit a moment of M = 600lb-ft across the plates. The coefficient of static friction between A and B is u, = 0.3.arrow_forward2 of 8 8-6. The 180-Ib man climbs up the ladder and stops at the position shown after he senses that the ladder is on the verge of slipping. Determine the coefficient of static friction between the friction pad at A and ground if the inclination of the ladder is e = 60° and the wall at B is smooth. The center of gravity for the man is at G. Neglect the weight of the ladder. 10 f 2arrow_forward
- The coefficient of static friction between the 65-lb roller and the ground is μ = 0.2. Fins the greatest force P that can be applied to the handle to that the roller rolls on the ground without slipping. The roller can be assumed to be a uniform cylinder. Note: when a wheel rolls without slipping, the point of contact between the wheel and the ground is stationary, so the static coefficient of friction is used. 40° 3 ftarrow_forwardThe man pushes on the roller with force P through a handle that connects to the central axle of the roller. If the coefficient of static friction between the 49-lb roller and the floor is s = 0.22, determine the maximum force Pthat can be applied to the handle, so that roller rolls on the ground without slipping. Assume the roller to be a uniform cylinder. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. Take g = 32.2 ft/s2. 1.5 ft 30° Your Answer: Answer unitsarrow_forwardM. 0.3 m The block brake is used to stop the wheel from rotating when the wheel is subjected to a couple moment. Determine the smallest force P that should be applied as well as the magnitude of the corresponding reaction force at support C. Use the couple moment Mo = 430 N-m, the coefficient of static friction between the wheel and the block of 0.6, a = 1.8 m, b = 0.8 m, and c = 0.075m. Round all answers to the nearest integer. The smallest force P that should be applied is: N. The magnitude of the reaction force at support C is: N.arrow_forward
- The three identical rollers are stacked on a horizontal surface as shown. If the coefficient of static friction ugis the same for all pairs of contacting surfaces, find the minimum value of u, for which the rollers will not slip. Answer: Ps=arrow_forwardPlease help with the attached problem.arrow_forwardThe sling with a sliding hook is used to hoist a homogeneous drum. If the static coefficient of friction between the cable and the eye of the hook is 0.6, determine the smallest possible value for the angle 6.arrow_forward
- 4. The mine car and its contents have a total mass of 6000 kg and a centre of gravity at G. If the coefficient of static friction 10 kN between the wheels and the 0.9 m •G tracks is u = 0.4 when the wheels are locked, find the normal force acting on the front wheels at B and the rear 0.15 m 0.6 m - 1.5 m wheels at A when the brakes at both A and B are locked. Does the car move? [Ans. NA = 16.5 kN, Ng =42.3 kN, the car does not move] %3D lyparrow_forwardQ5/ If a Moment of M 300 N. m is applied to the flywheel, determine the force that must be developed in the hydraulic cylinder CD to prevent the flywheel from rotating. The coefficient of static friction between the friction pad at B and the flywheel is 0.4. 8/12 Hib 0.6 m 1 m 30° B 60 mm M= 300 N-m 0.3 marrow_forwardThe pickup truck pulls the wooden crate, as shown in Figure 2. The truck has a mass of 1.25 Mg and a center of mass at G. The coefficient of static friction between the truck's wheel and the ground is µ = 0.5, and between the wooden crate and the ground is µs' = 0.4. Determine the greatest weight of the wooden crate the pickup truck can pull if: a) the truck has rear-wheel drive while the front wheels are free to roll, and b) the truck has four-wheel drive.arrow_forward
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