Engineering Mechanics Assignment Sheet * 5 Module

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Engineering Mechanics
Assignment Sheet – 5
Module - 5
Kinematics of Rigid Bodies
Q1. In the position shown bar AB has a constant angular velocity of
3 rad/s anticlockwise, determine the velocity of B, angular velocity
of bar BC, velocity of C, angular velocity of bar CD.
[Ans : VB= 720 mm/s ( ), πŽπ‘©π‘ͺ = 2.05 r/s (Clockwise), VC= 1018
mm/s, 𝝎π‘ͺ𝑫= 4.8 r/s (Clockwise) ]
Q2. If the link CD is rotating at 5 rad/sec anticlockwise,
determine the angular velocity of link AB at the instant shown.
[Ans : πŽπ‘¨π‘©= 3.71 r/s (Clockwise) ]
Q3. For the link and slider mechanism shown in the figure
locate the instantaneous centre of rotation of link AB. Also
find the angular velocity of link OA. Take velocity of slider
at B = 2500 mm/sec
[ Ans : πŽπ‘Άπ‘¨= 6.25 r/s (Clockwise) ]
Engineering Mechanics
Assignment Sheet – 5
Module - 5
Kinematics of Rigid Bodies
Q4. A Slider crank mechanism is shown in
figure. The crank OA rotates anticlockwise at
100 rad/sec. Find the angular velocity of rod
AB and the velocity of the slider at B.
[ Ans : πŽπ‘¨π‘© = 36.4 r/s, VB= 18.437 m/s]
Q5. Figure shows three bars AB, BC and CD hinged
together to form a mechanism. If bar CD has angular
velocity of 100 rpm in clockwise sense. Determine
velocities of point B & C and the angular velocity of
bar AB ?
[ Ans : VC = 4.189 m/s (
19.62 r/s (Clockwise)]
), VB= 4.906 m/s, πŽπ‘¨π‘© =
Q6. Rod BDE is partially guided by a roller
at D which moves in a vertical track as
shown in the figure. Knowing that at the
instant shown the angular velocity of AB
is 5 rad/sec clockwise and β = 25o
determine the (i) angular velocity of rod
BE and (ii) velocity of point E.
[ Ans : πŽπ‘©π‘¬ = 2.84 r/s (Anticlockwise),
VE = 1817.69 mm/sec]
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