Engineering Mechanics: Dynamics (14th Edition)
14th Edition
ISBN: 9780133915389
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 17.5, Problem 94P
If the coefficients of static and kinetic friction between the tire and the plane are μs = 0.2 and μk = 0.15, determine the tire’s angular acceleration as it rolls down the incline Set θ = 12°.
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Chapter 17 Solutions
Engineering Mechanics: Dynamics (14th Edition)
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Ch. 17.1 - Determine the mass moment of inertia of the...Ch. 17.1 - Determine the moment of inertia of the solid steel...Ch. 17.1 - Determine the wheels moment of inertia about an...Ch. 17.1 - If the large ring, small ring and each of the...Ch. 17.1 - The thin plate has a hole in its center its...Ch. 17.1 - The material has a mass per unit area of 20 kg/m2.Ch. 17.1 - The block has a mass of 3 kg and the semicylinder...Ch. 17.1 - The block has a mass of 3 kg and the semicylinder...Ch. 17.1 - The material has a specific weight = 90 lb/ft3.Ch. 17.1 - Prob. 20PCh. 17.1 - Determine the location y of the center of mass G...Ch. 17.1 - The material is steel having a density of = 7.85...Ch. 17.1 - The material is steel having a density of = 7.85...Ch. 17.3 - Draw the free-body and kinetic diagrams of the...Ch. 17.3 - Draw the free-body and kinetic diagrams of the...Ch. 17.3 - Determine the acceleration of the can and the...Ch. 17.3 - If the 80-kg cabinet is allowed to roll down the...Ch. 17.3 - Determine the maximum acceleration of the frame...Ch. 17.3 - Also what is the corresponding normal reaction on...Ch. 17.3 - Determine the tension developed in the rods and...Ch. 17.3 - If it is subjected to a couple moment M = 450 N ...Ch. 17.3 - Determine how far the door moves in 25, starting...Ch. 17.3 - Determine the constant force F that must be...Ch. 17.3 - Initially at take-off the engines provide a thrust...Ch. 17.3 - If it starts from rest it causes the rear wheels...Ch. 17.3 - If the winch at B draws in the cable with an...Ch. 17.3 - Determine the greatest acceleration of the...Ch. 17.3 - Determine the internal axial, shear, and...Ch. 17.3 - If the coefficient of kinetic friction between the...Ch. 17.3 - Determine the reactions at both the wheels at A...Ch. 17.3 - Also, what is the acceleration of the cart? 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If it is...Ch. 17.4 - It is pin supported at both ends by two brackets...Ch. 17.4 - Disk E has a weight of 60 lb and is initially at...Ch. 17.4 - If the cylinders are released from rest, determine...Ch. 17.4 - If the pulley can be treated as a disk of mass 3...Ch. 17.4 - If the pulley can be treated as a disk of mass M,...Ch. 17.4 - Assume that the board is uniform and rigid, and...Ch. 17.4 - At the instant the rolor is horizontal it has an...Ch. 17.4 - Determine the initial tending moment at the fixed...Ch. 17.4 - Movement is controlled by the electromagnet E,...Ch. 17.4 - If it is rotating in the vertical plane at a...Ch. 17.4 - Determine the angular acceleration of the rod and...Ch. 17.4 - Determine the horizontal and vertical components...Ch. 17.4 - Determine the horizontal and vertical components...Ch. 17.5 - If the powder burns at a constant rate of 20 g/s...Ch. 17.5 - Determine the acceleration of the bars mass center...Ch. 17.5 - Determine the acceleration of its mass center and...Ch. 17.5 - When the wheel is subjected to the couple moment,...Ch. 17.5 - Determine the angular acceleration of the sphere...Ch. 17.5 - If the couple moment is applied to the spool and...Ch. 17.5 - If the rod is released from rest at = 0,...Ch. 17.5 - rolls without slipping, show that when moments are...Ch. 17.5 - If it is initially at rest and is subjected to a...Ch. 17.5 - The uniform 150-lb beam is initially at rest when...Ch. 17.5 - If the coefficients of static and kinetic friction...Ch. 17.5 - If the coefficients of static and kinetic friction...Ch. 17.5 - If the coefficients of static and kinetic friction...Ch. 17.5 - Solve Prob.17-96 if the cord and force P = 50 N...Ch. 17.5 - If the coefficients of static and kinetic friction...Ch. 17.5 - If a horizontal force of F = 80 N is applied to...Ch. 17.5 - If slipping does not occur, determine the rings...Ch. 17.5 - Neglect the thickness of the ring.Ch. 17.5 - Using a collar of negligible mass, its end A is...Ch. 17.5 - If the pin is connected to a track which is giver...Ch. 17.5 - Assume the roller to be a uniform cylinder and...Ch. 17.5 - Also, find the angular acceleration of the roller....Ch. 17.5 - Determine the bars initial angular acceleration...Ch. 17.5 - Solve Prob.17-106 if the roller is removed and the...Ch. 17.5 - If the coefficient of static friction at A is s, =...Ch. 17.5 - If the truck has an acceleration of 3 m/s2...Ch. 17.5 - A cord is wrapped around the periphery of the disk...Ch. 17.5 - If the coefficient of static friction at A is s =...Ch. 17.5 - At this instant the center of gravity of the...Ch. 17.5 - Determine the initial angular acceleration of the...Ch. 17.5 - Determine the time before it starts to roll...Ch. 17.5 - If they are released from rest determine the...Ch. 17.5 - Determine the normal force which the path exerts...Ch. 17.5 - If it is originally at rest while being supported...Ch. 17.5 - If the pin support at A suddenly fails, determine...Ch. 17.5 - Determine its angular acceleration.Ch. 17.5 - If the coefficient of kinetic friction between the...Ch. 17.5 - Determine the normal reactions at each of the...Ch. 17.5 - Determine the internal axial force Ex, shear force...Ch. 17.5 - Determine the maximum acceleration it can have if...Ch. 17.5 - The roil rest against a wall for which the...Ch. 17.5 - Determine the magnitude of force F and the initial...Ch. 17.5 - Compute the reaction at the pin O just after the...Ch. 17.5 - if the coefficient of kinetic friction at the...Ch. 17.5 - The coefficient of kinetic friction is A = 0.3.
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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 spring-held follower AB has a weight of 0.75 lb and moves back and forth as its end rolls on the contoured surface of the cam, where r=0.2 ft and z = (0.1sine) ft. If the cam is rotating at a constant rate of 6 rad/s, determine the force at the end A of the follower when e=90°. In this position the spring is compressed 0.4 ft. Neglect friction at the bearing C. z = 0.1 sin 20 0.2 ft e = 6 rad/s k = 12 lb/ft Fs FA- Tarrow_forwardThe sports car is traveling along a 25∘ banked road, circular with a radius of r = 400 ft If the coefficient of static friction between the tires and the road is μs = 0.1, determine the minimum safe speed so no slipping down the road occurs. Neglect the size of the car.arrow_forward
- The 20-lb block has friction coefficients of μ = 0.4 and = 0.35, with the inclined surface. Find a. the angle where the 10-lb block begins to slide b. the acceleration of the block at the angle where it first slides c. the acceleration of the block at an angle 10° past the angle in b. If you use cartesian coordinates with x-along the slope, the problem is easier. B Aarrow_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 69-lb roller and the floor is g = 0.11, and the force Pis maximum so that the roller is about to slip, determine the angular acceleration of the roller (in rad/s²). 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. P Your Answer: Answer 30° 1.5 ft Sarrow_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_forward
- The spring-mounted 0.8 kg collar A oscillates along the horizontal rod, which is rotating at the constant rate q = 6 rad/sec. The spring constant k equals 5 N /m and the coefficient of kinetic friction mk equals 0.4. At a certain instant, r = 0.2 m, which is increasing at the rate of 800 mm/s, while r = 0.3 m / s2. For this instant, calculate the friction force from the rod onto the collar and the elastic force on the collar. Indicate whether or not the elastic force points towards the origin O and then calculate the spring stretch. (Hint: the total normal force between the rod and the collar results from both the weight of the collar and the transverse normal force that is perpendicular to the rod on the plane of rotation of the rod.) PLEASE ANSWER ALL QUESTIONS!arrow_forwardThe spring-mounted 0.62-kg collar A oscillates along the horizontal rod, which is rotating at the constant angular rate ở = 6.3 rad/s. At a certain instant, ris increasing at the rate of 630 mm/s. If the coefficient of kinetic friction between the collar and the rod is 0.46, calculate the friction force F exerted by the rod on the collar at this instant. Vertical Answer: F = i Narrow_forwardF13–15. The 2-Mg car is traveling along the curved road described by r = (50e2") m, where e is in radians. If a camera is located at A and it rotates with an angular velocity of ở = 0.05 rad/s and an angular acceleration of Ö = 0.01 rad/s? at the instant e =% rad, determine the resultant friction force developed between the tires and the %3D road at this instant. 1 = (50e2") m-arrow_forward
- 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°arrow_forwardแสดงวิธีทำให้ดูหน่อยarrow_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_forward
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