Engineering Mechanics: Dynamics (14th Edition)
14th Edition
ISBN: 9780133915389
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 18.4, Problem 10P
If the 10-kg block is released from rest, determine the distance the block must fall in order for the spool to have an angular velocity ω = 15 rad / s. Also, what is the tension in the cord while the block is in motion? Neglect the mass of the cord.
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Answers:
X =
wwwwwwww
N =
i
i
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mm
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The slotted arm OA rotates about a fixed axis through O. At the instant under consideration, θθ = 34°, θ˙θ˙ = 43 deg/s, and θ¨θ¨ = 10 deg/s2. Determine the magnited of the force F applied by arm OA and the magnitude of the force N applied by the sides of the slot to the 0.3-kg slider B. Neglect all friction, and let L = 0.88 m. The motion occurs in a vertical plane.
Chapter 18 Solutions
Engineering Mechanics: Dynamics (14th Edition)
Ch. 18.4 - Determine the kinetic energy of the 100-kg object.Ch. 18.4 - The 80-kg wheel has a radius of gyration about its...Ch. 18.4 - If the rod is at rest when = 0, determine its...Ch. 18.4 - Determine the angular velocity of the rod when the...Ch. 18.4 - If the wheel starts from rest and rolls Without...Ch. 18.4 - If the uniform 30-kg slender rod starts from rest...Ch. 18.4 - When it is subjected to a couple moment of M = 50...Ch. 18.4 - Show that its kinetic energy can be represented a...Ch. 18.4 - If the torsional spring attached to the wheel's...Ch. 18.4 - If the torsional spring attached to the wheel's...
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- The slotted arm OB rotates in a horizontal plane about point O of the fixed circular cam with constant angular velocity 0 = 10rad/s. The spring has a stiffness of 6.4 kN/m and is uncompressed when 80. The smooth roller A has a mass of 0.36 kg. Determine the normal force N which the cam exerts on A and also the force R exerted on A by the sides of the slot when 8 52°. The force R is positive if contact is with the lower surface. All surfaces are smooth. Neglect the small diameter of the roller. Answers: N= R= 0.19 m 0.19 m B 278.166820949951087 N Narrow_forwardThe slotted arm OA rotates about a fixed axis through O. At the instant under consideration, 0 = 37,0 = 44 deg/s, and 0 = 23 deg/s². Determine the magnited of the force F applied by arm OA and the magnitude of the force N applied by the sides of the slot to the 0.5-kg slider B. Neglect all friction, and let L = 0.84 m. The motion occurs in a vertical plane. Answers: F= N= i i -L m N B N 79⁰arrow_forwardThe slotted arm OA rotates about a fixed axis through O. At the instant under consideration, 0 = 34°, 0 = 43 deg/s, and 0 = 28 deg/s². Determine the magnited of the force F applied by arm OA and the magnitude of the force N applied by the sides of the slot to the 0.6-kg slider B. Neglect all friction, and let L = 0.75 m. The motion occurs in a vertical plane. Part 1 -L B Answer: ay = i m Slider B moves only vertically (the y-direction). Find the acceleration (positive if up, negative if down). B m y m/s²arrow_forward
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- The slotted arm OA rotates about a fixed axis through O. At the instant under consideration, 0 = 34°, 0 = 43 deg/s, and Ö = 28 deg/s². Determine the magnited of the force F applied by arm OA and the magnitude of the force N applied by the sides of the slot to the 0.6-kg slider B. Neglect all friction, and let L = 0.75 m. The motion occurs in a vertical plane. 0 -L- B marrow_forwardThe spring-mounted 0.89-kg collar A oscillates along the horizontal rod, which is rotating at the constant angular rate θ˙=8.2θ˙=8.2 rad/s. At a certain instant, r is increasing at the rate of 700 mm/s. If the coefficient of kinetic friction between the collar and the rod is 0.63, calculate the friction force F exerted by the rod on the collar at this instant.arrow_forwardIf the 100-kg mass has a downward velocity of 0.5 m/s as it passes through its equilibrium position, calculate the magnitude amax of its maximum acceleration. Each of the two springs has a stiffness k = 180 kN/m. Ans. amax = 30 m/s2 %3D k k 100 kgarrow_forward
- The velocity of the 8-kg cylinder is 0.3 m∕s at a certain instant. The speed v after dropping an additional 1.5 m is 2.5 m/s. The mass of the grooved drum is 12 kg, its centroidal radius of gyration is k = 210 mm, and the radius of its groove is ri = 200 mm. The frictional moment at O is a constant 3 N∙m. Find the frictional force.arrow_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 6-kg homogeneous sphere is released from rest on the ramp. If 0 = 30°, r = 0.2 m, u, = 0.4, and u, = 0.2, determine the acceleration of the center of mass G and the friction force exerted by the ramp on the sphere. ( m, ī •Garrow_forward
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