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The 400-mm bar AB is made to rotate at the rate
Fig. P15.234 and P15.235
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Vector Mechanics for Engineers: Dynamics
- The rotor B spins about its inclined axis OA at the angular speed N₁ = 215 rev/min, where 3 = 28°. Simultaneously, the assembly rotates about the vertical z-axis at the rate N₂. If the total angular velocity of the rotor has a magnitude of 41 rad/s, determine N2₂. N₁ Answer: N₂ = rev/min B N₂arrow_forwardThe disk A rotates about the vertical z-axis with a constant speed w = = π/3 rad/s. Simultaneously, the hinged arm OB is elevated at the constant rate = 2/3 rad/s. At time t = 0, both 0 = 0 and y = 0. The angle is measured from the fixed reference x-axis. The small sphere P slides out along the rod according to R = 50+ 200t2, where R is in millimeters and t is in seconds. Determine the magnitude of the total acceleration a of P when t = 1/2 s. R (0) B P A Øarrow_forwardIf the rod AB rotates counterclockwise with angular velocity, ω AB =8rad / s Calculate the velocities of the blocks C and D at the moment shown in the figure below.arrow_forward
- A drum of radius r1 = 3 in. is mounted on a cylinder of radius r2 = 6 in. A cord is wound around the drum, and its extremity D is pulled to the left with a constant velocity of 6 in./s, causing the cylinder to roll without sliding. Determine: 1. The angular velocity of the cylinder. 2. The velocity of the center of the cylinder A. Select one: A. ω=6 rad/s; and VA = 30 in/s. B. ω=4 rad/s; and VA = 16 in/s. C. ω=5 rad/s; and VA = 25 in/s. D. ω=2 rad/s; and VA = 6 in/s.arrow_forwardAs shown in the figure, the right-angled bar OAB rotates uniformly around the O-axis, and the angular velocity is w. AB is fitted with a small ring M, which is also fitted with a large fixed ring. At the moment shown in the figure,OMO1 is on the same horizontal line, the radius of the big ring is known as R,001=3R, and Please calculate the speed and acceleration of the instantaneous small ring 30 M B 9 Rarrow_forwardMechanism shown consists of two 8-pound rods AB and CD. each and a 10 lab AD bar. When θ = 0 °, the rod AB rotates with a velocity angular of 2 rad / s. If a torque M = 15 lb * ft is applied to the rod CD and to the rod AD is applied a force P = 20 lb., calculate the angular velocity of the bar AB at the instant that θ = 40 °arrow_forward
- A 3 in radius disk spins at the constant ω1 - 5 radian/s and a constant rate ω2= 4 radians/s. If the angle is 45 degrees, find the absolute acceleration at point P.arrow_forwardThe rotation of the flywheel is governed by w=2√t where w is in rad/s and t is in sec. θ=3 rad when t=1.5 sec. Find the values of θ and ? when t=3 sec.arrow_forwardIn the mechanism shown in the figure, AB = 8 meters BC = 5 meters CD = 4 meters. L = 3 meters. When the bars AB and CD are parallel and horizontal, the AB rod has an angular velocity w = 2rad / s and a = 1rad / s ^ 2 angular. What is the velocity of point C and the angular acceleration of the CD rod at this moment?arrow_forward
- Slider 4 is moving downward at a speed of 14 = 2 m/s and with a downward acceleration of a = 0,25 m/s at the moment 0=60°. The slider is connected to a wheel of with a radius of R = 1.5 m with a rod of length L = 3 m. The wheel is rolling without slipping. VA ал C B VA OB R A) Sketch a diagram of the rod showing the location of its Instant Center at the moment shown. What is the distance, r from the instant center to to point A? A/IC' B) Using the rod's instant center, determine the angular speed of rod AB. C) Using a relative acceleration approach, determine the acceleration of point B.arrow_forwardIn the mechanism illustrated below, the disk rolls without slip at constant angular velocity w = 10 rad/s in the indicated direction. R = 0.5ft. use the VECTOR method to determine the angular velocity of link AB and velocity of slider Aarrow_forward3. The bar shown rotates about the z-axis. Find the velocity and accleration of point P for the instant when the angular aceleration is 4 rad/s² and angular velocity is 1.5 rad/s, both in the directions shown. Give your answers in terms of the given Cartesian coordinates. Note: This problem is trying to fool you. The position vector re must be normal to the axis of rotation, which is not from point O. α 0! 500 mm, p 50 mm 200 mmarrow_forward
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