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Sir

 Pl solve Ques no -11

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Asked by shobhit 23rd June 2018, 12:00 AM
Answered by Expert
Answer:
Once the plate is released from the right edge (point B), it rotates around the point A.
 
Torque  due to the force F = mg is given by
 
 begin mathsize 12px style bold italic tau bold space bold equals bold space bold italic r bold cross times bold italic m bold italic g bold space bold equals bold space I cross times bold italic alpha space
end style...................(1)
where r is the vector and its magnitude is the distance between A and centre of mass. I is moment of Inertia.
α is angular acceleration

distance r can be calculated from given dimensions.
 
r = (√5/4)c
 
r × mg = r×mg×sinθ = r×mg×0.447  ...............(2)
 
in eqn.(2), θ is calculated as 26.57º from the given dimension(refer figure) 
 
moment of inertia I begin mathsize 12px style equals space m cross times open curly brackets fraction numerator c squared plus begin display style c squared over 4 end style over denominator 12 end fraction close curly brackets plus m cross times 5 over 16 c squared space equals space m cross times 5 over 12 c squared end style.................(3)
from eqns.(1), (2) and (3), we get α = 5.877/C rad/s
 
acceleration of CM = r×α = (√5/4)c × ( 5.877 / c) = 3.285 m/s
Answered by Expert 29th June 2018, 6:04 PM
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Tags: acceleration
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