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Slider C has a weight of 0.5 Ib and may move in a slot cut in arm AB, which rotates at the constant rate
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Vector Mechanics for Engineers: Dynamics
- In the system shown, a 150 N collar-pulley assembly slides on a horizontal shaft with coefficient of kinetic friction uk =0.10 between the collar and the shaft, and is acted upon by a force P with a magnitude of P = 250N at an angle 0 = 30 as shown. Knowing that the assembly is initially at rest, what is the time when the velocity of collar B reaches to 3 m/s? Also, at this instant, find the tensile force in the cord and the velocity of block A.arrow_forwardIn the system shown, a 150 N collar-pulley assembly slides on a horizontal shaft with coefficient of kinetic friction μk = 0.10 between the collar and the shaft, and is acted upon by a force P with a magnitude of P = 303.887 N at an angle θ = 35.38° as shown. Knowing that the assembly is initially at rest, what is the time when the velocity reaches to 3 m/s? what is the velocity of collar ? after 3 seconds? Also, at this instant, find the tension in the cord and the velocity of block A.arrow_forwardSlider C has a mass of 0.5 kg and may move in a slot cut in arm AB, which rotates at constant speed in a horizontal plane. The slider is attached to a spring of constant k = 150 N/m, which is unstretched when r = 0. When arm AB rotates about the vertical axis, the slider moves without friction outward along the smooth slot cut. Determine for the position r = 80 mm: a) The constant speed (V) of the slider. b) The normal force (N) exerted on the slider by arm AB. A r=80mm Barrow_forward
- A 5-kg homogeneous disk with a radius of 0.2 m is connected to a spring (k=50 N/m) as shown. At the instant shown (position 1), the spring is undeformed. The disk is released from rest and rolls without slipping to position 2, which is 0.1 m down the 25-degree incline. A clockwise constant 2 N-m couple is applied to the disk as it rolls down the inclined surface. Note: I disk = mR²2 2 N-m 0.2 5-kg 25° k = 50 N/m 10000000 1. Which of the following forces does negative work on the system? Friction between the disk and the inclined surface + x Mark 0.00 out of 20.00 2. Which of the following best approximates the magnitude of the work done by the spring? 0.250 J + ✓ 3. Which of the following best approximates the work done by the 2 N-m couple? -1.000 J + ✓ 4. Which of the following gives the correct expression of the kinetic energy of the system at position 2 in terms of the disk's angular velocity, w₂? 0.15 w2*2 + 4.53 rad/s + x 5. Which of the following best approximates the magnitude…arrow_forwardBoxes A and B are at rest on a conveyor belt that is initially at rest. The belt is suddenly started in an upward direction so that slipping occurs between the belt and the boxes. Knowing that the coefficients of kinetic friction between the belt and the boxes are (μk) A= 0.30 and (μk)B= 0.32, determine the initial acceleration of each box.arrow_forwardA block A of 60.0 lb is connected to a block B of 10.0 lb by means of a rope and an ideal pulley. The system is released from rest. Between block A and the surface, there is a coefficient of kinetic friction of 0.10. Block A has descended 5.00 ft. At this moment, determine: a. The displacement of block B.b. The magnitude of the tension in the rope.c. The speed of block B.d. The speed of block A.arrow_forward
- A spring AB of constant k is attached to a support at A and to a collar of mass m. The unstretched length of the spring is 1 . Knowing that the collar is released from rest at x=x0 and neglecting friction between the collar and the horizontal rod, determine the magnitude of the velocity of the collar as it passes through point C.arrow_forwardThe double pulley shown in the figure has a mass of 3 kg and a radius of 100 mm rotation. Knowing that when the pulley is at rest, it is applied to the cable in B, a force P of magnitude equal to 24N, determine the speed of the center of the pulley after 1.5 s and the tensile force on cable C.arrow_forwardASAParrow_forward
- A bowling ball ( m₁ = 3.00 kg and radius of r = 50.0 mm) which has an angular and linear velocity of 57.1 rad/s and 2.85 m/s, respectively, rolls without sliding and hits a slender Bar B of mass m_2 = 1.00 kg and length L = 0.12 m, which is initially at rest as shown in the following figure. Neglecting the friction between the sphere and the bar, and knowing the coefficient of restitution between the sphere and the bar is 0.2, determine (1) the angular velocity of Bar B immediately after impact, and (2) the linear velocities of sphere A and bar B immediately after impact (and at their centroids).arrow_forwardProblem 24.3 The collar C slides on the curved rod in the vertical plane under the action of a constant force F in the cord guided by the small pulleys at D. The collar has a mass of 0.70 kg and slides without friction. If the collar is released from rest at A, determine the value of the constant force F that will result in the collar reaching point B with a velocity of 4 m/s. 600 mm. B D 200 mm 200 mm 200 mm Ans: 5 N F ≤ 25 Narrow_forwardThe 7.5-lb disk A has a radius r A = 6 in. and is initially at rest. The 10-lb disk B has a radius r B = 8 in. and an angular velocity w0 of 900 rpm when it is brought into contact with disk A. Neglecting friction in the bearings, determine (a) the final angular velocity of each disk, (b) the total impulse of the friction force exerted on disk A.arrow_forward
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