(a) Let forces F =-î+j, F, = j, F, =-2î -4ĵ and F, =2î are acting at O(0,0), A(2,0), B(0,–2) and C(3,2) respectively. Find (i) torque of all forces about O. (ii) sum of torques of all the forces about O. (iii) moment of all the forces about A, when no force is acțing at A.

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(a) Let forces F =-i+j, F, = }, F, =-2î -4ĵ and F, = 21
are acting at 0(0,0), A(2,0),
B(0,-2) and C(3,2) respectively. Find (i) torque of all forces about O. (ii) sum of torques of
%3D
all the forces about O. (iii) moment of all the forces about A, when no force is acting at A.
(b) Find the Lagrange's equation of motion for a pendulum bob suspended with a rubber band.
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Transcribed Image Text:(a) Let forces F =-i+j, F, = }, F, =-2î -4ĵ and F, = 21 are acting at 0(0,0), A(2,0), B(0,-2) and C(3,2) respectively. Find (i) torque of all forces about O. (ii) sum of torques of %3D all the forces about O. (iii) moment of all the forces about A, when no force is acting at A. (b) Find the Lagrange's equation of motion for a pendulum bob suspended with a rubber band. Ouestion
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