A 1 -kg collar can slide on a horizontal rod that is free to rotate about a vertical shaft. The collar is initially held at A by a cord attached to the shaft. A spring of constant 30 N/m is attached to the collar and to the shaft and is undeformed when the collar is at A. As the rod rotates at the rate
the mass of the rod, determine (a) the radial and transverse components of the acceleration of the collar at A, (b) the acceleration of the collar relative to the rod at A, (c) the transverse component of the velocity of the collar at B.
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Vector Mechanics for Engineers: Dynamics
- The system shown below consists of a uniform disk D that has a mass of mp = 3.0 kg and a radius of r = 1.0 meters. The disk is connected by a massless cable to a block. The system is released from rest and the disk starts rolling without sliding with the angular acceleration of a = rad 30 s2 in the clockwise direction. Determine the magnitude of the friction force (in Newtons) developed between the disk and the inclined surface at this instant. Consider 0 = 40° and g = 10 m. mparrow_forwardRod OA rotates counterclockwise at a constant angular rate -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= (1.6 cos ) m. Both collars have a mass of 0.7 kg. Motion is in the vertical plane. (Figure 1) Figure 1 of 1 > 7= 1.6 cos 8. 0 8=4 rad/s 0.8 m B Part A Determine the magnitude of the force which the circular rod exerts on one of the collars at the instant Express your answer to three significant figures and include the appropriate units. ▸ View Available Hint(s) HÅ F-35.8 N Submit Previous Answers X Incorrect; Try Again; 4 attempts remaining Part B Determine the magnitude of the force that OA exerts on the other collar at the instant-45 Express your answer to three significant figures and include the appropriate units. ▸ View Available Hint(s) FOA- ON Previous Answersarrow_forwardObject A, mass 12 kg, is attached to a pulley with mass 15 kg and a radius of 0.25 m. The pulley is rotating at 2000 rpm. If object A is to be reduced to half its initial speed, plant By braking the pulley bearings which creates a moment of resistance of 800 N-m. I want to know how far the object will slide down and what is the tension in the rope at that time. 12 kg 0.3 marrow_forward
- Rod OA rotates counterclockwise at a constant angular rate 0 = 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 = (1.6 cos 0) m. Both collars have a mass of 0.7 kg. Motion is in the vertical plane. (Figure 1) Figure r = 1.6 cos 0 0 = 4 rad/s 0.8 m 0 B < 1 of 1 A Part A Determine the magnitude of the force which the circular rod exerts on one of the collars at the instant = 45° Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s) F = 16.56 Submit Previous Answers Part B μA X Incorrect; Try Again; 5 attempts remaining FOA = Submit Determine the magnitude of the force that OA exerts on the other collar at the instant = 45°. Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s) D N μA Value ? Units ?arrow_forwardA simple pendulum is made of a 50 cm-string and a bob of mass m. At t = 0, the pendulum is at its equilibrium position and is given an initial velocity v= 0.2 m/s. The maximum angular speed, 6'max. is:arrow_forwardRod OA rotates counterclockwise with an angular position - 2t rad, where t is in seconds. 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 hoop rod described by the equation r = 1.6cose m. If the total mass of both collars is 0.5 kg and of the rod and hoop are negligible, when = 30° which takes t = ()(180) sec, determine the circumferential acceleration of the collars, ag. [m/s2] (sign sensitive) 6=ki 16 cos 8.arrow_forward
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