PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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3. The ball B has a mass of 10 kg and is attached to the end of a rod whose mass may be
neglected. If the rod is subjected to a torque M=(3t2 + 5t + 2) N*m, where t is in seconds,
determine the speed of the ball when t=3s. The ball has a speed v= 2 m/s when t= 0s
1.5 m
The small cylinder C has a mass of 10 kg and is attached to the
end of a rod whose mass may be neglected. The frame is subjected
to a couple of moment M = 26Nm, and the cylinder is subjected to
a force of F = (5t² + 6) N, where t is in seconds, which is
always directed in the same direction as the cylinder's velocity as
shown. The cylinder has a speed vo= 2 m/s when t = 0. (Figure 1)
Figure
0.75 m
M
1 of 1
Part A
Determine the speed of the cylinder when t = 3 s.
Express your answer to three significant figures and include the appropriate units.
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The spring constants are k1 = 140N / m, k2 = 240N / m and the unstretched lengths of the springs are 0.3 m. If the 6 kg ring is released from rest from point A, calculate its velocity when it reaches point B. According to the given datum line, the total potential energy (Ve) at point A is A = 1116.86 J and the total elastic potential energy (Ve) at point B is B = 370.8 J. Neglect the dimensions of the bracelet. (L1 = 0.90 m, L2 = 1.80 m, h1 = 1.20 m and h2 = 2.40 m)
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- M = (² + 2) N · m 0.5 m Each ball has a negligible size and their respective mass are 7-kg and 3-kg. Each ball is attached to the end of a rod whose mass may be neglected. If the rod is subjected to a torque M=t2+4 N.m, where t is in seconds, detemrine the speed of each ball when t=1. The initial speed of each baal at t=Os is 1 m/s.arrow_forwardThe 5.27 kg collar B rests on the frictionless arm AA! The collar is held in place by the rope attached to drum D and rotates about O in a horizontal plane. The linear velocity of the collar B is increasing according to v = 0.2 t2 where v is in m/s and tis in seconds. Find the tension in the rope and the force of the bar on .the collar if 5 s,r= 0.558 m and 0 = 58° A A' Darrow_forwardDetermine the force acting on the cylinder at t = 3 s.arrow_forward
- During a brake test, the rear-engine car is stopped from an initial speed of 98 km/h in a distance of s = 54 m. If it is known that all four wheels contribute equally to the braking force, determine the braking force F at each wheel in N. Assume a constant deceleration for the 1,446-kg car. Use g = 9.81 m/s?arrow_forwardAt the instant shown, the spring is undeformed. Determine the change in potential energy if the 20 kg disk (kG = 0.5 m) rolls 2 revolutions without slipping. ½(200)(1.2 π )2 + (20) (9.81) (1.2 π sin 30°) - ½(200)(1.2 π )2 - (20) (9.81) (1.2 π sin 30°) ½(200)(1.2 π )2 - (20) (9.81) (1.2 π sin 30°) ½(200)(1.2 π )2arrow_forward0.6*K2 m- K1 m/s K1=2 К2-8 K4=2 k=50*K4 N/m B 4- The 2 kg smooth cylinder collar has a downward speed K1 m/s when it is at s=0 m. The natural length of the spring is 0.3*K2 meters and it has a spring constant of 50*K4 N/m. As the collar goes down with the specified initial velocity, it stops momentarily when s = Sg. a. Determine a datum point on the figure b. Calculate the initial kinetic energy of the system c. Calculate initial elastic and gravitational potential energy of the system d. Calculate the kinetic energy when s = Sg. e. Determine the Sg value using the conservation of energy. f. Calculate elastic and gravitational potential energy of the system s = Sg.arrow_forward
- 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.arrow_forwardThe 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_forwardA catapult is used to throw large projectiles by the ancient civilization. If a catapult swung from rest position and shot a 10-kg projectile at a velocity of 50 meters per second. Determine the force in Newtons exerted by the catapult on the projectile.arrow_forward
- The tractor is used to lift the 170-kg load B with the 24-m-long rope, boom, and pulley system. The tractor travels to the right with an acceleration of 4 m/s² and has a velocity of 5 m/s at the instant SA = 5 m. When SA = 0, SB = 0. (Figure 1) Figure 12 m -SA 1 of 1 Part A Determine the tension in the rope at this instant. Express your answer to three significant figu T = Value N Submit Previous Answers Request Answ X Incorrect; Try Againarrow_forwardThe slotted arm OA rotates about a fixed axis through O. At the instant under consideration, 0 = 35%, 0 = 39 deg/s, and Ö = 15 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 0.2- kg slider B. Neglect all friction, and let L = 0.68 m. The motion occurs in a vertical plane. 0 -L B marrow_forwardNonearrow_forward
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