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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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- The rolling motion of the circle with a zero mass is defined by a velocity V-1.2m.s at the Center of the disk. Calculate d=12m the ongulor Veldrity W. At the time Os is W=0. 163arrow_forwardThe 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_forwardQ-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_forward
- A 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 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
- 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_forwardPlease answer this correctly I'll rate!arrow_forwardGiven 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_forward
- The 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_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
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L