# Exams_6 - FACULTY OF ENGINEERING LECTURERS SPECHIALIZED...

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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 2009 6 TH .WEEK MIDTERM TIME ALLOWED : 70 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 ( ) 1 t ( 3 v - - = . If the particle starts the motion at the position : m 20 x = , plot the path in the time interval between [ s 6 t , 0 t = = ] , then determine : a] the distance traveled by the particle at the first 6 seconds . b] the distance traveled by the particle in the time interval between [ s 6 t , s 2 t = = ]. c] the average speed and the average velocity in the time interval between [ s 8 t , s 2 t = = ] . d] the magnitude and direction of the maximum velocity in the time interval between [ s 6 t , s 2 t = = ].

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2. The curvilinear motion of a particle is described by the acceleration components : ) 0 y ( , 2 s / m ) 10 x ( = - = , with initial conditions : 0 o y , 0 o x , 0 t = = = s / m 12 o y , s / m 16 o x , = = . At the point of intersection of the path with ( y - 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:
SOLUTION: A B C C 1 C 2 8 m 6 m 1. A ring starts to slide from point A on a curve that consists of two circular arcs AB and BC as shown . If the velocity of the ring is increasing by a constant rate of ( 6 m / s 2 ) , determine : a] the time it takes to reach each of points B and C. b] the acceleration at both A and C. c] the acceleration just before the point B.

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FACULTY OF ENGINEERING SPECHIALIZED SCIENTIFIC PROGRAMS LECTURERS : PROF. DR. FAROUK ELBARKI ALL DEPARTMENTS COURSE : MECHANICS 2 (DYNAMICS) 2 ND . SEMESTER COURSECODE. : MP104 SPRING 2009 6 TH .WEEK MIDTERM TIME ALLOWED : 70 MIN. NAME: PR.NO. : SEC: GROUP: SOLUTION ANSWER THE FOLLOWING QUESTIONS : 1. The acceleration of a particle moving along a straight path is given by the relation : 2 s / m 18 t 6 a - = . If the particle starts the motion at the position : m 20 x = , with initial velocity of s / m 15 o v = , plot the path in the time interval between [ s 6 t , 0 t = = ] , then determine : a] the distance traveled by the particle at the first 6 seconds . b] the distance traveled by the particle in the time interval between [ s 6 t , s 2 t = = ]. c] the average speed and the average velocity in the time interval between [ s 8 t , s 2 t = = ] . d] the magnitude and direction of the maximum velocity in the time interval between [
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## This note was uploaded on 12/21/2010 for the course ENGINEERIN mp108 taught by Professor Elbarki during the Spring '08 term at Alexandria University.

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Exams_6 - FACULTY OF ENGINEERING LECTURERS SPECHIALIZED...

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