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The particle is placed at the position shown and released. Apply the principle of angular momentum about point O
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Engineering Mechanics: Dynamics (14th Edition)
- 1. The two blocks A and B each have a mass of 470 g. The blocks are fixed to the horizontal rods, and their initial velocity along the circular path is 2 m/s. The spheres are also subjected to tangential forces of P= 10 N. A couple moment of M= (f+2) N.m is applied about CD of the frame. The mass of the frame is negligible, and it is free to rotate about CD. Neglect the size of the blocks. Determine the speed of the blocks when t = 5 s. C M = ( + 2) N · m A В P = 10 N P = 10 N 0.3 m- 0.3 m. Darrow_forwardThe 27.2 kg child holds onto a rope as the platform of the playground ride rotates about the vertical axis at a constant angular speed à = 2 rad/s. Find the tension in the rope, and the normal force between the child and the platform. Neglect friction. Note that: a = (* – rð²)e, + (2r +rë)e, 3.05 m T35° 27.2 kgarrow_forwardDYNAMICS OF RIGID BODIES! The ball at A is kicked with a speed of 25.38 m/s at an angle Θ = 30 degrees . Determine the position of point B where it strikes the ground. Assume the ground has the shape of a parabola as shown.arrow_forward
- Rod OA rotates counterclockwise at a constant angular rate θ˙ = 4 rad/s. The double collar B is pin-connected together such that one collar slides over the rotating rod and the other collar slides over the circular rod described by the equation r=(1.6cosθ)m. Both collars have a mass of 0.7 kg . Motion is in the horizontal plane. (Figure 1)arrow_forwardM = A frisbee is thrown such that its final angular velocity is w = 9 after being in flight for t = 2 s. As it rad S flies, the wind applies a constant moment, causing the frisbee to rotate faster. If the frisbee was initially at rest, determine the moment of the wind and the work done by said moment. Assume the frisbee can be modelled as a disk with mass m = = 0.15 kg and that it rotates about its center of gravity G. The frisbee has a radius of r = 0.12 m. UM = N.m r J G Marrow_forwardRod OA rotates counterclockwise at a constant angular rate 0 = 4 rad/s. The double collar Bis pin-connected together such that Determine the magnitude of the force which the circular rod exerts on one of the collars at the instant 0 = 45°. one collar slides over the rotating rod and the other collar slides over the circular rod described by the equation r = (1.6 cos 0) m Both collars have a mass of 0.65 kg. Motion is in the vertical plane. (Figure 1) Express your answer to three significant figures and include the appropriate units. HA ? F = - 11.766 Figure 1 of 1 Submit Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remaining r = 1.6 cos 0 0 = 4 rad/s B Part B Determine the magnitude of the force that OA exerts on the other collar at the instant 0 = 45°. Express your answer to three significant figures and include the appropriate units. 0.8 m HẢ ? FOA = 11.766arrow_forward
- Q2/ The slotted arm revolves about a normal axis through point O with a constant angular velocity w.The path radius of the center of the pin A varies according to r = 20+ 2sin(nwt)where n is the number of lobes = 6 in this case. pin A If w=12 rad/s, and the spring compression varies from 11.5 N to 19.1 N, calculate the force R between the cam and the 0.1 kg pin A when it passes over the top of the lobe in the position shownarrow_forwardThe quarter-circular slotted arm OA is rotating about a horizontal axis through point O with a constant counterclockwise angular velocity 2 position B = 60°. Determine the magnitude of the tangential force F parallel to the slot which the epoxy must support so that the particle does not move along the slot. The value of R = 1.4 ft. 8.5 rad /sec. The 0.14-lb particle P is epoxied to the arm at the %3D A -R P 0.277 Ib Answer: F =arrow_forward3/225 At a certain instant, the particle of mass m has the position and velocity shown in the figure, and it is acted upon by the force F. Determine its angular momentum about point O and the time rate of change of this angular momentum. Ans. Ho mu(-ci + ak), Ho = F(bi - aj) +- b Problem 3/225 m сarrow_forward
- The particle of mass m = 2.1 kg is attached to the light rigid rod of length L = 0.91 m, and the assembly rotates about a horizontal axis through O with a constant angular velocity θ˙θ˙ = ω = 2.9 rad/s. Determine the force T in the rod when θ = 28°. The force T is positive if in tension, negative if in compression. Determine the force T in the rod when θ = 28°. The force T is positive if in tension, negative if in compression.arrow_forward3/50 The 4-oz slider has a speed v = 3 ft/sec as it passes point A of the smooth guide, which lies in a horizontal plane. Determine the magnitude R of the force which the guide exerts on the slider (a) just before it passes point A of the guide and (b) as it passes point B. 8" B A Problem 3/50arrow_forwardAt the instant shown, link CD rotates with an angular velocity of W = 8.5 rad/s. If it is subjected to a couple moment M = 340 N·m, determine the magnitude of reaction force developed in link AB. The block has a mass of 50 kg and center of mass at G. Neglect the mass of links AB and CD. (Hint, since the mass of link AB or CD is negligible, the external force or moment acting on it sums up to 0.) Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point, and proper unit. Take g = 9.81 m/s². 0.1 m 0.4 m 0.4 m G Your Answer: Answer B 0.6 m units A Marrow_forward
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