Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 17.5, Problem 3RP
To determine
The maximum acceleration of car when the power is supplied only to the rear wheels:
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The 1650-kg car has its mass center at G. Calculate
the normal forces NA and Ng between the road and
the front and rear pairs of wheels under conditions
of maximum acceleration. The mass of the wheels is
small compared with the total mass of the car. The
coefficient of static friction between the road and
the rear driving wheels is 0.80. What is Na in kN
G
400 mm
B
1200
1200
mm
mm
The uniform cylinder has a mass of 30.0kg and is rotating about a horizontal axis through O at 1200 rpm. The coefficient of kinetic friction between the cylinders and braking levers is 0.200. If the spring tension is 100 N, calculate the time required for the cylinder to stop spinning.
The car has a mass of 1.50 Mg and a mass center at G.
Power is supplied only to the rear wheels. Neglect the mass
of the wheels in the calculation, and assume that the wheels
that do not receive power are free to roll. Also, assume that
slipping of the powered wheels occurs, where the coefficient
of kinetic friction is μ = 0.32. (Figure 1)
Figure
B
-0.4 m
1.6 m
-1.3 m
A
Part A
Determine the maximum acceleration the car can have.
Express your answer to three significant figures and include the appropriate units.
(ac) max = Value
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Chapter 17 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Ch. 17.1 - Determine the moment of inertia Iy for the slender...Ch. 17.1 - The solid cylinder has an outer radius R1 height...Ch. 17.1 - Determine the moment of inertia of the thin ring...Ch. 17.1 - The paraboloid is formed by revolving the shaded...Ch. 17.1 - Determine the radius of gyration kr of the body....Ch. 17.1 - The sphere is formed by revolving the shaded area...Ch. 17.1 - The frustum is formed by rotating the shaded area...Ch. 17.1 - Prob. 8PCh. 17.1 - Prob. 9PCh. 17.1 - The pendulum consists of a 4-kg circular plate and...
Ch. 17.1 - The assembly is made of the slender rods that have...Ch. 17.1 - Prob. 12PCh. 17.1 - The wheel consists of a thin ring having a mass of...Ch. 17.1 - If the large ring, small ring and each of the...Ch. 17.1 - Determine the moment of inertia about an axis...Ch. 17.1 - Prob. 16PCh. 17.1 - Determine the location y of the center of mass G...Ch. 17.1 - Prob. 18PCh. 17.1 - Prob. 19PCh. 17.1 - Determine the moment of inertia of the wheel about...Ch. 17.1 - The pendulum consists of the 3-kg slender rod and...Ch. 17.1 - Prob. 22PCh. 17.1 - Determine the moment of inertia of the overhung...Ch. 17.3 - Draw the free-body and kinetic diagrams of the...Ch. 17.3 - Prob. 2PPCh. 17.3 - Prob. 1FPCh. 17.3 - Prob. 2FPCh. 17.3 - Prob. 3FPCh. 17.3 - Prob. 4FPCh. 17.3 - At the instant shown both rods of negligible mass...Ch. 17.3 - Prob. 6FPCh. 17.3 - The door has a weight of 200 lb and a center of...Ch. 17.3 - The door has a weight or 200 lb and a center of...Ch. 17.3 - The jet aircraft has a total mass of 22 Mg and a...Ch. 17.3 - The sports car has a weight of 4500 lb and center...Ch. 17.3 - The assembly has a mass of 8 Mg and is hoisted...Ch. 17.3 - The assembly has a mass of 4 Mg and is hoisted...Ch. 17.3 - The uniform girder AB has a mass of 8 Mg....Ch. 17.3 - A car having a weight of 4000 lb begins to skid...Ch. 17.3 - A force of P = 300 N is applied to the 60-kg cart....Ch. 17.3 - Determine the largest force P that can be applied...Ch. 17.3 - The trailer with its load has a mass of 150-kg and...Ch. 17.3 - The desk has a weight of 75 lb and a center of...Ch. 17.3 - The desk has a weight of 75 lb and a center of...Ch. 17.3 - The 150-kg uniform crate rests on the 10-kg cart....Ch. 17.3 - The 150-kg uniform crate rests on the 10-kg cart....Ch. 17.3 - The bar has a weight per length w and is supported...Ch. 17.3 - The smooth 180-lb pipe has a length of 20 ft and a...Ch. 17.3 - The smooth 180-lb pipe has a length of 20 ft and a...Ch. 17.3 - The uniform crate has a mass of 50 kg and rests on...Ch. 17.3 - Determine the acceleration of the 150-lb cabinet...Ch. 17.3 - Prob. 44PCh. 17.3 - Prob. 45PCh. 17.3 - Prob. 46PCh. 17.3 - Prob. 47PCh. 17.3 - The snowmobile has a weight of 250 lb, centered at...Ch. 17.3 - If the carts mass is 30 kg and it is subjected to...Ch. 17.3 - Prob. 50PCh. 17.3 - The pipe has a mass of 800 kg and is being towed...Ch. 17.3 - The pipe has a mass of 800 kg and is being towed...Ch. 17.3 - Prob. 53PCh. 17.3 - Prob. 54PCh. 17.3 - Prob. 55PCh. 17.3 - Prob. 56PCh. 17.4 - The 100-kg wheel has a radius of gyration about...Ch. 17.4 - Prob. 8FPCh. 17.4 - Prob. 9FPCh. 17.4 - Prob. 10FPCh. 17.4 - Prob. 11FPCh. 17.4 - Prob. 12FPCh. 17.4 - The 10-kg wheel has a radius of gyration kA = 200...Ch. 17.4 - The uniform 24-kg plate is released from rest at...Ch. 17.4 - The uniform slender rod has a mass m. If it is...Ch. 17.4 - The tent rod has a mass of 2 kg/m. If it is...Ch. 17.4 - If a horizontal force of P = 100 N is applied to...Ch. 17.4 - The 10-lb bar is pinned at its center O and...Ch. 17.4 - The 10-lb bar is pinned at its center O and...Ch. 17.4 - A cord is wrapped around the outer surface of the...Ch. 17.4 - Disk A has a weight of 5 lb and disk B has a...Ch. 17.4 - Prob. 66PCh. 17.4 - If the cord at B suddenly fails, determine the...Ch. 17.4 - Prob. 68PCh. 17.4 - The 20-kg roll of paper has a radius of gyration...Ch. 17.4 - The 20-kg roll of paper has a radius of gyration...Ch. 17.4 - The reel of cable has a mass of 400 kg and a...Ch. 17.4 - Prob. 72PCh. 17.4 - Cable is unwound from a spool supported on small...Ch. 17.4 - The 5-kg cylinder is initially at rest when it is...Ch. 17.4 - Prob. 75PCh. 17.4 - Prob. 76PCh. 17.4 - Disk D turns with a constant clockwise angular...Ch. 17.4 - Prob. 78PCh. 17.4 - Prob. 79PCh. 17.4 - Prob. 80PCh. 17.4 - Prob. 81PCh. 17.4 - Prob. 82PCh. 17.4 - Prob. 83PCh. 17.4 - Prob. 84PCh. 17.4 - Prob. 85PCh. 17.4 - Prob. 86PCh. 17.4 - Prob. 87PCh. 17.4 - The 100-kg pendulum has a center of mass at G and...Ch. 17.5 - The Catherine wheel is a firework that consists of...Ch. 17.5 - The uniform 60-kg slender bar is initially at rest...Ch. 17.5 - Prob. 14FPCh. 17.5 - Prob. 15FPCh. 17.5 - The 20- kg sphere rolls down the inclined plane...Ch. 17.5 - The 200-kg spool has a radius of gyration about...Ch. 17.5 - The 12-kg slender rod is pinned to a small roller...Ch. 17.5 - If the disk in Fig. 17-19 rolls without slipping,...Ch. 17.5 - The 20-kg punching bag has a radius of gyration...Ch. 17.5 - The uniform 150-lb beam is initially at rest when...Ch. 17.5 - The tire has a weight of 30 lb and a radius of...Ch. 17.5 - The tire has a weight of 30 lb and a radius of...Ch. 17.5 - The spool has a mass of 100 kg and a radius of...Ch. 17.5 - Solve Prob.17-96 if the cord and force P = 50 N...Ch. 17.5 - The spool has a mass of 100 kg and a radius of...Ch. 17.5 - The 12-kg uniform bar is supported by a roller at...Ch. 17.5 - A force of F= 10 N is applied to the 10-kg ring as...Ch. 17.5 - If the coefficient of static friction at C is s =...Ch. 17.5 - The 25-lb slender rod has a length of 6 ft. Using...Ch. 17.5 - The 15-lb circular plate is suspended from a pin...Ch. 17.5 - If P = 30 lb, determine the angular acceleration...Ch. 17.5 - If the coefficient of static friction between the...Ch. 17.5 - The uniform bar of mass m and length L is balanced...Ch. 17.5 - Solve Prob.17-106 if the roller is removed and the...Ch. 17.5 - The semicircular disk having a mass of 10 leg is...Ch. 17.5 - The 500-kg concrete culvert has a mean radius of...Ch. 17.5 - The 15-lb disk rests on the 5-lb plate. A cord is...Ch. 17.5 - The semicircular disk having a mass of 10 kg is...Ch. 17.5 - The circular concrete culvert rols with an angular...Ch. 17.5 - The uniform disk of mass m is rotating with an...Ch. 17.5 - The uniform disk of mass m is rotating with an...Ch. 17.5 - A cord is wrapped around each of the two 10-kg...Ch. 17.5 - The disk of mass m and radius r rolls without...Ch. 17.5 - The uniform beam has a weight W. If it is...Ch. 17.5 - The 500-lb beam is supported at A and B when it is...Ch. 17.5 - The solid ball of radius rand mass m rolls without...Ch. 17.5 - By pressing down with the finger at B, a thin ring...Ch. 17.5 - Prob. 1RPCh. 17.5 - Prob. 2RPCh. 17.5 - Prob. 3RPCh. 17.5 - Prob. 4RPCh. 17.5 - Prob. 5RPCh. 17.5 - Prob. 6RPCh. 17.5 - Prob. 7RPCh. 17.5 - Prob. 8RP
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- If the coefficient of static friction between the 50-lb roller and the ground is p, = 0.25, determine the maximum force P that can be applicd to the handle, so that roller rolls on the ground without slipping. Also, find the angular acceleration of the roller. Assume the roller to be a uniform cylinder. 15 ft 30arrow_forwardThe solid homogeneous cylinder shown has a mass of 30 kg and is rotating at 1200 rpm clockwise about a fixed horizontal axis through O. The coefficient of kinetic friction between the brake and the cylinder is 0.20. If the tension in the spring when the brake is applied is 100 N, determine the time required for the cylinder to stop rotating. Neglect the thickness of the vertical members. (Draw FBD)arrow_forwardThe car shown in the figure has a mass of 2500 kgs and a center of mass at G. Determine the acceleration if the rear "driving" wheels are always slipping, whereas the front wheels are free to rotate. Neglect the mass of the wheels. The coefficient of kinetic friction between the wheels and the road is uk = 0.3. Determine also the normal forces on A and B.arrow_forward
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- The system is released from rest with the cable taut, and the homogeneous cylinder does not slip on the rough incline. Determine the angular acceleration of the cylinder and the minimum coefficient µs of friction for which the cylinder will not slip.arrow_forwardPlease solve this question in dynamicsarrow_forward6/15 The 1650-kg car has its mass center at G. Calculate the normal forces NA and NB between the road and the front and rear pairs of wheels under conditions of maximum acceleration. The mass of the wheels is small compared with the total mass of the car. The coefficient of static friction between the road and the rear driving wheels is 0.8. Ans. NA = 6.85 kN, NB = 9.34 kN G A 400 mm B 1200 1200 mm mm Problem 6/15arrow_forward
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