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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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- Q-4) The rod, having a weight of 16N and a length of 2.5m, contains a joint at O which is 0.5m distant from point B. The other end of the rod is attached to a 2,5 m- 0,5 m spring that is compressed by 4cm A with Ks= 250N/cm. At this moment the rod is horizontal. When released; calculate it's angular velocity (passing by the vertical position) and reaction forces at the joint 0.arrow_forwardA motorcycle and rider have a combined mass of 350kg. The vehicle’s velocity is 100 km/hr. The rider is to go up a hill incline of 10 meters. The wheels each have a mass of 20 kg and a diameter of 500mm. The wheel design consists of 6 spokes with a mass of 0.5 kg for each spoke. Determine the vehicle’s velocity at the top of the hill, assuming it was a rolling vehicle with engine being turned off.arrow_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
- If the man pulls the strap with constant acceleration during a short time interval Δt, calculate the force (in Newtons) that he must exert in spinning up the disc. These are the numbers. Strap's final speed = v = 1.5 m/s. The disc's radius is R = 0.4 m The small disc's radius is 2 cm The disc's mass is M = 2.4 kg The short time interval is Δt = 0.3 s The disc initially is non-rotating.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_forwardThe 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_forward
- The two springs are identical, withunstretched length 0.4 m. When the 150-kg mass issuspended at B, the length of each spring increases to0.6 m. What is the spring constant k?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_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_forward
- Determine the velocities on the center point C and the point E on a rim of the disk if (a) it slip at point A (b) it doesn't slip at point A.arrow_forwardA 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_forwardDetermine the largest angle for which the homogeneous block remains at rest.arrow_forward
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L