The piston of the hydraulic cylinder gives pin A a constant velocity v = 2.1 ft/sec in the direction shown for an interval of its motion. For where r = OA. the instant when 0 = 54°, determine , r, 0, and
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- The horizontal motion of the plunger and shaft is arrested by the resistance of the attached disk which moves through the oil bath. The velocity of the plunger is v0 = 3.8 m/s in the position A where x = 0 and t = 0, and the deceleration is proportional to v so that a = -kv where k = 0.61 s-1. Find (a) the velocity when t = 5.5 s, (b) the position x when t = 5.5 s, (c) the velocity when x = 3.5 m.A rigid bar is moving along two perpendicular walls. The length of the bar is LAB=1.0m. At an instant, velocity at point A is VA=1.0 m/s downward. The angle between the bar and the vertical wall is θ=30°. (1) Determine the IC (instantaneous center of zero velocity) center________ A. Point B B. Point C C. Point G D. Point ODetermine the angular velocity, in rpm, of the rotating drum which results in loss of contact between the clothes and the drum at 1.0239 rad. Assume that the small vanes prevent slipping until loss of contact. Round your answer to 2 decimal places
- A train is moving horizontally to the right with the speed of VT=60 mi/h. Meanwhile, a car is traveling toward the train with the speed of VC=30 mi/h and a 30deg angle with respect to horizontal direction. Select the correct expression of the velocity vector of the train relative to the car ___________mi/h A. (60-30cos30°)-30sin30° B. (60-30cos30°) +30sin30° C. (60+30cos30°)-30sin30° D. (30cos30°-60) +30sin30°The rod OA rotates in the horizontal plane such that =0.66t3 radian, and collar B is sliding outward along OA so that r=114t2 mm. If in both cases t is in seconds, determine the radial component of velocity (mm/s) of the collar when the collar is 128 mm from O. Round off only on the final answer expressed in 3 decimal places. DONT ROUND OF IN THE ENTIRE SOLUTION, ONLY IN THE FINAL ANSWERThe constant angular acceleration of the rotating disk is 12 rad/s . The angular velocity of the disk is 24 rad/s clockwise when t = 0. Determine the total angle turned by the disk between t = 0 and t = 4sec. the answer is 48 rad. show your solution.
- The disk with radius r = 0.2 m (figure below) starts from rest and receives an angular acceleration at clockwise given by alfa= (3t3)rad/s2, where t is given in second. That said, for t = 3 s determine: (a) the angular velocity of the disk (b) the velocity intensity of a point P on the edge of the disk. Represent the direction of the velocity vector at point P indicated in the figure (c) the intensities of the normal and tangential components of the acceleration of a point P in the edge of the disc. Plot the direction of these acceleration components at the indicated point P in the figureThe speed of a material point is given by v = 16t² i + 4t3 j + (5t + 2) k m / s, where t is given in seconds. If the point is at the origin when t = 0, determine the position (x, y, z) of the point at time t = 3s. Choose one:a. (42.7.16, 14)B. (64, 48, 5)c. (96, 108, 5)d. (5.3, 1, 4.5)e. (144, 81, 28.5)A weight is attched to a chord and forms aconical pendulum when it was rotated about thevertical axis. If the period of rotation is 0.2 sec, determine the velocity of the weight, in m/s, ifthe chord makes an angle of 25 degrees with thevertical.
- A weight concentrated at the end of a cord forms a conical pendulum for which the period is 1.250 sec. Determine the velocity (in m/s) of the weight if the cord rotates inclined at 36o with the vertical.Example] The two ends of bar AB slides along the vertical and horizontal surfaces. MA = 1,, MB = 1,0 = ot(@= const.) Determine the motion equation, the magnitude of the velocity and acceleration for point M. BThe collars ܣ and ܤ are joined by the 8-in. bar. Given that Va=0.3 m/s and aA= −0.6 m/s^2 when x=90mm, find the velocity and acceleration of B at this instant.