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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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- 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_forwardRod 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_forwardQ2/ 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_forward
- The 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_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_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_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_forward3/225 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_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_forward
- The 2 kg BC ring can only move left and right on the frictionless rigid arm. Ring BC is connected to springs with spring constants k = 300 N / m and k ′ = 200 N / m at points AB and CD. The unstretched length of both springs is 600 mm. Since it is known that the springs are not tensioned and starts from rest, find the velocity of the ring BC at the moment when the external force F is applied 200 mm.arrow_forwardDetermine the x, y, and z components of the angular momentum HO of the particle about point O using scalar notation. Suppose that W = 5 lb . (Figure 1) Express your answers using three significant figures separated by commas.arrow_forwardThe particle of mass m = 2.4 kg is attached to the light rigid rod of length L = 0.77 m, and the assembly rotates about a horizontal axis through O with a constant angular velocity θ˙θ˙ = ω = 3.5 rad/s. Determine the force T in the rod when θ = 29°. The force T is positive if in tension, negative if in compression.arrow_forward
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