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If the powder burns at a constant rate of 20 g/s such as that the exhaust gases always exert a force having a constant magnitude of 0.3 N, directed tangent to the wheel determine the angular velocity of the wheel when 75% of the mass is burned off initially, the wheel is at rest and has a mass of 100 g and a radius of r = 75 mm. For the calculation, consider the wheel to always be a thin disk.
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Chapter 17 Solutions
Engineering Mechanics: Dynamics (14th Edition)
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- The 23-kg uniform thin hollow square plate is pinned at point O, and its side L = 0.3 m. If it is subjected to the constant moment M = 82 N·m and is released from rest from the position as shown, determine its angular velocity W (in rad/s) when it has rotated 45 Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². M Your Answer: Answerarrow_forwardThe uniform slender rod (8.6 kg) is pinned at point O. If a 6.3-g bullet shoots into the rod with a speed of 500 m/s and becomes embedded in it, determine the total angular momentum H (in kg•m²/s) about point O immediately after that. The rod and the bullet are considered one system. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². G 1m 0.2 m Your Answer: Answerarrow_forwardThe 100-kg beam BD shown in Fig.17-13a is supported by two rods having negligible mass. Determine the force developed in each rod if at the instant = 30°, w = 6 rad/s. A 0.5 m -0 = 30° B 0.4 m- co G 0.4 m n (G) ► (ac)₁ TB 30° 30° 4 0.4 m -0.4 m 981 N TD 30° (b) Alo 0.5 m al α (c) w = 6 rad/s a Barrow_forward
- Given that the spring is originally compressed 15 cm and has a modulus of 876 N/m. By using an appropriate method, predict the speed of A after it has descended 1.2 m.arrow_forwardThe 21-kg uniform thin hollow square plate is pinned at point O, and its side L = 0.5 m. If it is subjected to the constant moment M = 78 N·m and is released from rest from the position as shown, determine its angular velocity W (in rad/s) when it has rotated 45°. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². L Your Answer: Answerarrow_forwardtake m and k as ; m= 0.18 kg, k = 128 N/marrow_forward
- The weight of the spring held follower AB is 0.367 kg and moves back and forth as its end rolls on the contoured surface of the cam, where r = 0.2 ft and z = (0.1sin20) ft. If the cam is rotating at a constant rate of 6 rad/s, determine the force, in lb, at the end A of the follower where 0 = 45°. In this position, the spring is compressed 0.4 ft. Neglect friction at the bearing C. Round your answer to 3 decimal places. 6 = 6 rad/s 0.2 ftX z = 0.1 sin 20 Z A k = 12 lb/ft с Barrow_forwardThe particle of mass m = 2.5 kg is attached to the light rigid rod of length L = 1.27 m, and the assembly rotates about a horizontal axis through O with a constant angular velocity-w-3.2 rad/s. Determine the force T in the rod when 9 - 36°. The force T is positive if in tension, negative if in compression. Part 1 Answers: ■ de L Your answer is partially correct. Calculate the r- and 8-components of acceleration. 0 ar= i 13.005 0 m m m/s² m/s²arrow_forwardDetermine the largest angle for which the homogeneous block remains at rest.arrow_forward
- A mass that weighs 8 lb stretches a spring 24 inches. The system is acted on by an external force of 4 sin(4t) lb. If the mass is pulled down 6 inches and then released, determine the position of the mass at any time t. Assume that the u-axis is directed downwards and ft = g 32 Express your answer as a linear combination of sin(at) $² and cos(at), where u is in feet and t is in seconds. u(t) = Determine the first four times at which the velocity of the mass is zero. Exclude t = 0 as trivial, and enter exact answers. First zero: t = Third zero: t = Second zero: t = Fourth zero: t =arrow_forwardA gun shoots an 8.0 g bullet into the 2.0 kg wooden block of ballistic pendulum. The block and bullet then rise to a height of 65 mm. Determine the velocity of the bullet fired by the gun.arrow_forwardThe 21-kg uniform thin hollow square plate is pinned at point O, and its side L = 0.5 m. If it is subjected to the constant moment M = 78 N•m and is released from rest from the position as shown, determine its angular velocity w (in rad/s) when it has rotated 45°. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s2. `L MV Your Answer: Answerarrow_forward
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L
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