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6TH.WEEK MIDTERM

# 6TH.WEEK MIDTERM - is described by the acceleration...

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FACULTY OF ENGINEERING SPECHIALIZED SCIENTIFIC PROGRAMS LECTURERS : PROF. DR. FAROUK ELBARKI –DR. SAAD ALSAFI ALL DEPARTMENTS COURSE : MECHANICS 2 (DYNAMICS) 2 ND . SEMESTER COURSECODE. : MP104 SPRING 2008 6 TH .WEEK MIDTERM TIME ALLOWED : 90 MIN. NAME: PR.NO. : SEC: GROUP: SOLUTION ANSWER THE FOLLOWING QUESTIONS : 1. The velocity of a particle moving along a straight path is given by the relation : s / m ) 5 t ( ) 3 t ( 3 v = . If the particle starts the motion at the position : m 20 x = , plot the path in the time interval between [ s 8 t , 0 t = = ] , then determine : a] the distance traveled by the particle at the first 8 seconds . b] the distance traveled by the particle in the time interval between [ s 8 t , s 4 t = = ]. c] the average speed and the average velocity in the time interval between [ s 8 t , s 4 t = = ] . d] the maximum velocity max v in the time interval between [ s 5 t , s 3 t = = ].

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SOLUTION: 2. The curvilinear motion of a particle

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Unformatted text preview: is described by the acceleration components : 2 s / m 10 y , x − = = & & & & , with initial conditions: y , x , t o o = = = s / m 12 y , s / m 16 x , o o = = & & . At the point of intersection of the path with ( x - axis ) , determine : [a] the time ,the position, and the magnitude and direction of the velocity and acceleration . [b] the time rate of the change of the magnitude of the velocity. [c] the Cartesian coordinates of the centre of curvature. Drawings are necessary. SOLUTION: 3. A ring starts to slide from point O on a circular arc OA of length ( π 100 s OA = ) meters as shown. If the velocity of the ring is defined by: ) t 2 ( v = m /s , where t is the time in seconds, determine: [a] the time it takes to reach the point A . [b] the acceleration at both points O and A . C O A o 45 o 45 R x...
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