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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- 4. 2) The hydraulic cylinder D extends, moves the rigid rod ABC, and causes the collar A to move with velocity and acceleration both to the left. If the dimensions 4 1.0 ft, and 2 = 1.7 ft, VA = 4.9 ft/s, aa = 2.6 ft/s2, and the angle 0 = 27°, determine the speed of point B. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. В 12 D a Your Answer: Answer units 1,The linkage shown consists of 2 sliders, 1 bar, and a plate. The velocities of A and C are given to be VA = 2 m/s Vg = 3 m/s At the instant given. Find the velocity of point B. Use vector notation. 0.1m W1 rad/s 0.26m 12. rad/s VB m/sFor the following mechanism, if the length of rod AO, I = 1.7 m, and its angular velocity W = 7.8 rad/s, determine the magnitude of the angular velocity of link AB. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point and proper unit. %3D A 0.5 m В Your Answer: Answer units
- Q 1. An object rotates with angular acceleration, a defined as a dw where w is the angular velocity dt do Given that when t = 0, w = wo show that w = wo + at Also the angular velocity w is defined as w dt 1 where v is the angular displacement. Given that when t = u, U = U, then show that e = wot + 1 dp -KịpY where k1 + 0 where y dz Y - 1 Q 2. The pressure P of the atmosphere at an altitude z is given by l di Y-1 is the specific heat constant and kį is a constant. Show that z = 1 KRotation of bar OA is controlled by the lead screw which imparts a horizontal velocity v to collar Cand causes pin P to travel along the smooth slot. Determine the values of r and 0, where r = OP, if h = 255 mm, x = 185 mm, and v= 32 mm/s at the instant represented. h Your answer is partially correct. Answers: j= 18.79 0 = i 0.08 x mm/s rad/s V bosse ннннннPROBLEM 2 For the mechanism, shown on the figure, Onc = const 5 s'. O4=BC D0,3 m, AB-0,6 m. Determine: a) velocity and acceleration of the point B: b) angular acceleration of the body BC: c) angular velocity and angular acceleration of the body OA: d) linear velocity and acceleration of the pointA. 120 60°
- The rod OA rotates clockwise at a constant angular velocity of 0 = (3) rad -. Two pin-connected slider block, located at B, move freely on OA. The curved rod is described by the equationr = (250 · (8 - cos 0)) m. Hint: 1. Remember clockwise rotation is negative velocity. A d3 d1 d2 Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value 01 130 degrees di 0.45 m d2 dz 0.2 m 0.325 m Using cylindrical components, a. Determine the cylinders's radial and transverse components of velocity at the instant shown, vr and b. Determine the cylinders's radial and transverse components of acceleration at the instant shown, a, and ag. c. Determine the cylinder's magnitude of the velocity at the instant shown, v d. Determine the cylinder's magnitude of the acceleration at the instant shown, aAn automobile P is traveling along a circular track of radius R=958.4 m. At position "A" on the track, the automobile has a speed of UA = 10.3 m/s. At this position, the driver of the automobile applies the brakes causing the speed of the automobile to change with distance s traveled along the track according to the following equation: U(S) = VA COS(0.001s) m/s (cos is in radians), where s is given in meters. Determine the magnitude of the acceleration for the driver when the automobile reaches position "B" on the track where "B" is a quarter of the distance around the track from position "A". R B O circular trackQ1: 1.2. if gear A is started from rest with 6.366 rev/sec² along c.w. direction, find the angular velocity and acceleration of gear B after 5 sec. 1.2. The c.w. angular acceleration of gear A is α = (3 +0.007 02), where 0 in radians. If the c.w. angular velocity of gear A was 250 rev/min at time t = 0, find the angular velocity and acceleration of gear B after the gear A rotating 16 rev. 175 mm 100 mm WA αA
- The Scotch-yoke mechanism converts rotational motion of the disk to oscillatory translation of the shaft. If 0 = 470, w = 2.72 rad/s, a 1.92 rad/s2, r 375 mm and d 880 mm, determine the velocity and acceleration of point Pof the shaft. The velocity and acceleration are positive if to the right, negative if to the left. A Answers: m/s i Vp m/s apDetermine 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 placesThe x-coordinate of a particle in curvilinear motion is given by x = 3.8t3 - 2.6t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 3.9t. If the particle has y-components y = 0 and vy = 5.2 ft/sec whent = 0, find %3D %3D the magnitudes of the velocity v and acceleration a when t = 5.3 sec. Sketch the path for the first 5.3 seconds of motion, and show the velocity and acceleration vectors for t = 5.3 sec. Answers: V = i ft/sec a = ft/sec2