PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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The man has a mass, m =. 40 kg. He plans to scale the vertical crevice using the method shown. If the coefficient of
static friction between his shoes and the rock is µ = 0.4 and between his backside and the rock is µ = 0.3, determine
the smallest horizontal force his body must exert on the rocks in order to do this.
The rope running over two fixed cylinders carries the 4-kg mass at one end. Determine the force P that
must be applied to the other end to initiate motion. The coefficient of static friction between the rope and
the cylinders is 0.15.
50 mm
150 mm
400 mm
4 kg
O 64.1 N
63.1 N
65.1 N
O 62.1 N
The 10-kg block is placed in an incline as shown. If the coefficient of static friction is 0.4, determine the minimum force P required to keep the block from sliding down
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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_forwardThe leather rein used to fasten the horse to the hitching rail weighs 3.5 oz per foot. The coefficient of static friction between the rail and the rein is 0.6. If a 34-lb force acting on the bridle is sufficient to restrain the horse, determine the smallest safe length L for the free end of the rein.arrow_forwardThe man is trying to push the homogeneous 20-kg ladder AB up a wall by applying the horizontal force P. Determine the smallest value of Pthat would move the ladder. The coefficient of static friction between the ladder and both contact surfaces is 0.3. 1.5 m 2 m Note that h = 5 marrow_forward
- Determine 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 two 200-N blocks are pushed apart by the 15 degrees wedge of negligible weight. The angle of static friction is 10 degrees at all contact surfaces. Determine the force P required to start the blocks moving.arrow_forwardDetermine the coefficient of static friction between the friction pad at A and ground if the inclination of the ladder is 0 =60° and the wall at B is smooth when the 82-kg man climbs up the leader and stops at the position shown after he senses that the leader is on the verge of slipping. The center of gravity for the man is at G. Neglect the weight of the leader.arrow_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_forward333arrow_forward3 - please show the complete solution, thanks!arrow_forward
- Determine the smallest horizontal force P required to lift the 100-kg cylinder. The coefficient of static friction at the contact points A and B are 0.6 and 0.2, respectively. The coefficient of static friction between the wedge and the ground is 0.3.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_forward4. 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_forward
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