PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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The 3-kg crate rests on the 10-kg cart where the
coefficients of static and kinetic friction are u, = 0.25 and
Mk=0.2, respectively. Determine the smallest constant force
P needed to cause the crate to slip. How much time does it
take for the crate to slip off the cart?
3 m-
G
- 2 m
P
roll of paper has a uniform weight of 2kN and is suspended from the wire hanger so that it rests against the wall. If the hanger has a negligible weight and the bearing at O can be considered frictionless, determine the force P needed to start turning the roll if = 30°. The coefficient of static friction between the wall ܬܐ and the paper is µ = 0.3.
The coefficient of static friction between the 50-kg crate and the ramp is μs = 0.35. The unstretched length of the spring is 800 mm, and the spring constant is k = 660 N/m. Determine the following:
1 The normal force acting on the crate is Blank 1 N.
2 The friction force acting on the crate is Blank 2 N.
3 The minimum value of x at which the crate can remain stationary on the ramp is Blank 3 mm.
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- The 600-lb cable spool is placed on a frictionless spindle that has been driven into the ground. If the force required to start the spool rotating is F = 160 lb, determine the coefficient of friction between the ground and the spool. Neglect the diameter of the spindle compared to the diameter of the spool.arrow_forwardDetermine the value of the force P which will cause motion of the 25-kg block to impend up the 34° incline. The cylinder is fixed to the block and does not rotate. The coefficients of static friction are ₁ = 0.22 and ₂ = 0.38. H1 25 kg H₂ O 34° 24°arrow_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 43-lb roller and the floor is g = 0.16, determine the maximum force P that 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. Your Answer: Answer 30° units 1.5 ftarrow_forward
- The 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_forwardTwo blocks A and B have a weight of 11 lb and 6 lb , respectively. They are resting on the incline for which the coefficients of static friction are μA = 0.16 and μB = 0.23. Determine the angle θ which will cause motion of one of the blocks. What is the friction force under each of the blocks when this occurs? The spring has a stiffness of k = 2 lb/ft and is originally unstretched. Determine the smallest angle θ which will cause motion of one of the blocks. Determine is the friction force under the block A at this angle. Determine is the friction force under the block B at this angle.arrow_forwardThe horizontal force P = 90 N is applied to the upper block with the system initially stationary. The block masses are mA = 14.4 kg and mB = 5.1 kg. Use g = 9.81 ms-2. Determine the magnitude of the frictional force that block B exerts on block A. The coefficients of static friction are µ1 = 0.40 and µ2 = 0.50. The coefficients of kinetic friction are 75% of the respective static values. Give your answer in Newtons.arrow_forward
- Two blocks A and B have a weight of 10 lb and 6 lb, respectively. They rest on the inclined plane whose coefficients of static friction are A=0.15 and B 0.25 respectively. Determine the angle of inclination X for which both blocks begin to slide. Also find the required elongation or compression in the spring connecting them for this to occur. The spring has a stiffness of k 2 lb/ft.arrow_forwardThe 113-lb force P is applied to the 250-lb crate, which is stationary before the force is applied. Determine the magnitude and direction of the friction force F exerted by the horizontal surface on the crate. The friction force is positive if to the right, negative if to the left. Assume μ = 0.41, μ = 0.32. P Answer: F = i H lbarrow_forwardThe two 200-lb blocks are pushed apart by the 15° wedges of negligible weight.The angle of static friction is 12° at all contact surfaces.Determine the force P required to start the blocks moving.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_forwardIf each box weighs 150 lb, determine the least horizontal force P that the man must exert on the top box in order to cause motion. The coefficient of static friction between the boxes is μs = 0.54, and the coefficient of static friction between the box and the floor is μ's = 0.24.arrow_forwardThe 89-lb force P is applied to the 200-lb crate, which is stationary before the force is applied. Determine the magnitude and direction of the friction force F exerted by the horizontal surface on the crate. The friction force is positive if to the right, negative if to the left. Assume μ = 0.52, k = 0.40. P Answer: F = i Hs HR lbarrow_forward
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