The rotation of an element in a mechanism is managed so that the rate of change of angularvelocity with respect to the angular displacement is a constant - λ. If the angular velocity of theelement is ωo at the start when θ = 0 and t = 0, derive the expression for angular displacement,angular velocity and angular acceleration as functions of time.

5. For the following pin-collected link assembly, link AO is pinned at point O, and moves with angular velocity W and angular acceleration a (both counterclockwise). 3) if W = 2.2 rad/s and a = 7.9 rad/s2, what is the magnitude of the linear acceleration of point A in m/s²? Hint, don't forget linear acceleration has two components, normal and tangential. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. B Your Answer: 8 Answer 0.5 m ω, α

5. For the following pin-collected link assembly, link AO is pinned at point O, and moves with angular velocity w and angular acceleration a (both counterclockwise). 6) if W = 5.3 rad/s and Q = 7.0 rad/s?, length I = 1.8 m, and angle 0= 36°, what is the angular acceleration of link AB in rad/s?? Please pay attention: the numbers may change since they are randomized. Negative must be included if it is clockwise. Your answer must include 2 places after the decimal point. 0.5 m O, a

5. For the following pin-collected link assembly, link AO is pinned at point O, and moves with angular velocity W and angular acceleration a (both counterclockwise). 6) if W = 4.4 rad/s and a = 7.7 rad/s2, length I = 1.7 m, and angle 0= 27°, what is the angular acceleration of link AB in rad/s2? Please pay attention: the numbers may change since they are randomized. Negative must be included if it is clockwise. Your answer must include 2 places after the decimal point. 0.5 m A 0, a B Your Answer: Answer

Data has been gathered from a lifting system used to transport engine parts. The system consists of a drum and cable. The following data was obtained when the drum lowers the load (assume constant acceleration). Drum diameter = 0.8m Mass of load = 3kg Initial velocity = 0 m/s Time to descend = 0.5 secs Distance travelled = 0.25m You have been asked to use this information to determine: The final linear velocity of the load The linear acceleration of the load The final angular velocity of the drum The angular acceleration of the drum The tension force in the cable The torque applied to the drum   In determining the above quantities, you should clearly state the formulae used and apply dimensional analysis techniques to show that all values/units used are homogeneous.   From the formulae used (above) you should apply dimensional analysis techniques to develop two equations for power (in terms of linear velocity and angular velocity).

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:

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

Needs Complete typed solution with 100 % accuracy.

A wheel in fixed axis rotation spins at 300 rpm and decelerates at α = 3 rad/s2. How long does it take for the wheel to come to a complete stop?

Solve it correctly please. I will rate accordingly. Solve it completely.