Two constant horizontal forces F1 and F2 are acting on blocks A and B. At an instant acceleration of block B is 4 m/s2 in direction of F1 and acceleration of block A with respect to block B at this moment is :
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Initially the spring extends in length, then its restoration force on either end will be same and equal to - k x, where k = force constant of the spring and x is the extension of the spring. Hence block A is pulled towards right with the same spring force.
Equations of dynamics of the blocks are
F1 - k x = M_B * a_B
k x - F2 = M_A * a_A
F1 - F2 = M_B * a_B + M_A * a_A
100 - 70 = 5 * 4 + 2 * a_A
a_A = 5 m/sec²
Equations of dynamics of the blocks are
F1 - k x = M_B * a_B
k x - F2 = M_A * a_A
F1 - F2 = M_B * a_B + M_A * a_A
100 - 70 = 5 * 4 + 2 * a_A
a_A = 5 m/sec²
kvnmurty:
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sir can you please explain where did the first equation come from?
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Initially the spring extends in length, then its restoration force on either end will be same and equal to - k x, where k = force constant of the spring and x is the extension of the spring. Hence block A is pulled towards right with the same spring force.
Equations of dynamics of the blocks are
F1 - k x = M_B * a_B
k x - F2 = M_A * a_A
F1 - F2 = M_B * a_B + M_A * a_A
100 - 70 = 5 * 4 + 2 * a_A
a_A = 5 m/sec²
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