1. The wheel starts rotating from rest, 3) if its angular velocity W as a function of angular position O is w=0.3·0², where O is in radian, and its radius ris O.3 m, what is the magnitude of the tangential linear acceleration (in m/s2) of point Pafter the wheel has turned 1.3 revolution(s) from rest. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. P Your Answer: Answer

A shaft 5.0 cm in diameter and rotating at 2,400 rpm, comes to a full stop in 6.0 seconds. It slows down to 1200 rpm during the first 2.0 seconds and comes to a full stop at the end of the sixth second. The acceleration is constant during both segments of the motion. Determine: a.The total number of turns it completes during the 6.0 seconds it is slowing down, b.the distance traveled by a point on the rim of the shaft during this time, and c.the average acceleration during the first 2.0 seconds in rad/s2.

A wheel of radius r rolls without slipping on a horizontal surface shown below. If the velocity of point P is 10 m/s in the horizontal direction, the magnitude of velocity of point Q (in m/s) is

For the following mechanism, if the length of rod AB, I = 1.9 m, and its angular velocity w = 7.1 rad/s, determine the magnitude of the linear velocity 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. 0.5 m B 30° A 45° Your Answer:

For the following mechanism, rod AB is pinned to the two disks at point A and point B, and the two disks roll to the left without slipping. if the length of rod AB, I= 2.4 m, and its angular velocity @ = 6.2 rad/s, determine the magnitude of the linear velocity 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. (0.5 m 0.5 m No slipping No slipping Your Answer: Answer units

In the mechanism shown below, link AB rotates at a constant angular velocity of 1.5 rad per sec counterclockwise. What is the acceleration of C along the channel? Assume the positive direction to be upwards and to the right. use relative motion

A cylinder of radius 7 = 0.2 m is about to start rolling down an inclined plane. The acceleration of the center of the cylinder is 9.81 sin(0) m/s?. The angular acceleration is 9.81 sin(0)/r rad/s?. Assume 0 = 0.8 rad. What is the magnitude of acceleration of the point on the cylinder furthest from the inclined plane in m/s?. Hint: Since it is about to start rolling, the velocity of the center of the cylinder and angular velocity of the cylinder are still zero at that instant. You Answered 0.2739 Correct Answer 14.075 margin of error +/- 2%

c. Derive the piston instantaneous acceleration as a function of the crank angle. . Piston Acceleration Speed dUp dUp d de dt dᎾ - (a sin(0) [1. + = @= cos(0) √R²-sin²( Son ² (1)D) w ²

For the following mechanism, if the length of rod AB, I = 2.0 m, and its angular velocity w = 5.5 rad/s, determine the magnitude of the angular velocity of rod 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. 0.5 m B 30° A 45° Your Answer: Answer units

For the problem related to Fundamental.4, a sketch of the considered system showing and naming (or numbering) every part of the system considered, the respective velocity and acceleration of each, and the frame of reference considered is mandatory. Its absence will automatically make the problem false. At the instant observed below 0 =14°, 4°. Z A 3 ft WAB 2 ft C B What must be the angular velocity of the link AB, WAB in rad.s¹ if the linear velocity of C is 7 ft.s¹ -1 --1