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ASSIGNMENT 1 SEM327- T2 2019
Note: Please answer the following questions while demonstrating all the details and calculations in a report not more than 10 pages. Each question is worth 7.5 marks. The answers file should be individual and includes the students’ ID and name, and be uploaded on the assignment folders by the deadline. The report should not be necessarily all typed though preferred, but there is some marks for well-written and structured answers which are concise and easy to understand with appropriate flow used and shown in derivations and calculations.
1- In the rope and pulley system shown in the following, the collar ???? is moving down at speed of ???? ????/???? while pulley ???? is attached to it. The collar ???? starts moving down from ???? at ???? = ???? with zero initial velocity and constant acceleration. The velocity of the collar ???? when reach to ???? is measured ???????? ????/????, knowing the acceleration of pulley ???? is zero, determine the:
Elevation change (?????????), velocity (????????), and acceleration (????????) of block ???? when block ???? is at ????.
2- An arm is rotating about O by function of angle (radian) versus time (seconds) ???? = ????. ????????????????. There is a collar ???? sliding along the arm with a function of distance (meters) versus time (seconds) as ???? = ????. ????-????. ????????????????. Determine the followings when the arm is rotated to the angle ???? = ????????° :
(a) ????????, ???????? and total velocity (????) of the collar,
(b) ????????, ???????? and total acceleration (????) of the collar, and
(c) Relative acceleration of the collar with respect to the arm (????????/????????).
3- The locomotion mechanism, shown in the figure below, is moving rightward with velocity
???? of x (m/s) (???????????? = ???????????? = ???? ( ????)). Diameters of wheels ???? and ???? are ????. ???????? ???? and ????. ???????? ???? respectively. Determine the followings:
(a) Velocities of ????????, ????????/????????, ???????????? ???????? in ????/????.
(b) Angular velocities of ????????, ????????.
Note: x is an individual value for each student that should be found from two right digits of student’s ID (e.g. Student ID: 215189534????? = 34 ????/????. There might be one exception for a student ID which ends to 00? ???? = 100 ????/????)
4- In the following mechanism, link/wheel ???? is rolling on the ground without slipping.
????????????
Knowing that ????2 = -???? ( ???? ) (negative sign denotes clockwise rotation), determine the:
????????, ????????, ????????, ????????, ???????????? ????????.
Note: x is an individual value for each student that should be found from two right digits of student’s ID (e.g. Student ID: 215189084????? = -84 ????????????/????. There might be one exception for a student ID which ends to 00? ???? = -100 ????????????/????).

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