MEC205 : Dynamics Starting from Rest, the Angular Acceleration of the Disk - Engineering Assignment Help

Assignment Task:

TASK:

Question 1 [10] Starting from rest, the angular acceleration of the disk is defined by ???????? = (6????????3 + 5) rad/s2 , where t is in seconds. Determine the magnitudes of the velocity and acceleration of point A on the disk when t = 3 s.

Question 2 [20] On a smooth surface, a 10-N force ???????? is applied on the 5-kg block A for 4 seconds, then the block slides on the surface to hit the 20-kg block B which was stationary before the impact. Take coefficient of restitution ???????? = 0.5. If the unstretched spring has a stiffness ???????? = 200 N/m, determine i. the speed of block A and B after the impact [10] ii. the maximum compression of the spring due to the collision. [5]

iii. energy loss due to the collision [5] 

Task 2 – Assignment 

Question 3 [15] The 5 kg ball is released from position A with a velocity of 3 m/s and swings in the vertical plane. At the bottom position B, the cord strikes the fixed bar at D and the ball continues to swing in the dashed arc. Determine i. angular momentum of the ball about point D (including the direction) when it is at the lowest position [10]

ii. speed of the ball as it passes the position C. [5]

Question 4 [20] The 4 kg wheel with a radius ???????? = 1 m and radius of gyration ???????????????? = 0.5 m rotates from rest with an angular acceleration ???????? = 2???????? + 1 rad/s2 , where ???????? is in second. A linkAB (length ???????? = 4 m) connects collar A and the wheel with pin joints. After 3 seconds, as shown in the figure, the angles are ???????? = 30° and ???????? = 60° . At the instant ( ???????? = 3 s), determine

i. the velocity of the collar A (including the direction) [15]

ii. the kinetic energy of the wheel [5]

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