Homework2 Dead line 22/04/2015

Eastern Mediterranean University
Faculty of Engineering
Department of Mechanical Engineering
Rigid Body Dynamics (MENG233)
Instructor:
Assistant Professor Dr. Mostafa Ranjbar
Assistant:
Sadegh Mazloomi
Homework #2
Sunbmitted By:
Name:
ST ID
Submission Deadline:
22th April 2015
Q1-
A sphere is fired downwards into a medium with an initial
speed of 27 m>s. If it experiences a deceleration of
a = ( -6t) m>s2, where t is in seconds, determine the
distance traveled before it stops.
Q2-
It is observed that the time for the ball to strike the ground
at B is 2.5 s. Determine the speed vA and angle uA at which
the ball was thrown.
vA
A
uA
1.2 m
50 m
B
Q3Determine the velocity of t he log if t he truck at C pulls
the cable 4 m/s to the right.
B
C
Q4At the instant shown, cars A and B are traveling at speeds
of 25 m/s and 30 m/s, respectively. If B is increasing its
speed by 5 m>s2, while A maintains a constant speed,
determine the velocity and acceleration of B with respect
to A. Car B moves along a curve having a radius of
curvature of 300 m.
vB = 30 m/s
B
A
vA = 25 m/s
30°
Q5Block A weighs 10 N and block B weighs 3 N. If B is
moving downward with a velocity 1vB21 = 3 m >s at t = 0,
determine the velocity of A when t = 1 s . The coefficient of
kinetic friction between the horizontal plane and block A is
mA = 0.15. (Use impulse and momentum concept)
A
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(vB)1
3 m /s
B
Q6-
A 750-mm-long spring is compressed and confined by the
plate P, which can slide freely along the vertical 600-mm-long
rods. The 40-kg block is given a speed of v = 5 m>s when it is
h = 2 m above the plate. Determine how far the plate moves
downwards when the block momentarily stops after striking
it. Neglect the mass of the plate.
v ⫽ 5 m/s
A
h⫽2m
P
k ⫽ 25 kN/m
600 mm
Q7-