Constrained Motion : General Approach
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In the given situation, two blocks A and B are arranged as shown in the figure. M is a fixed pulley and N is a movable pulley. The system is released from rest. What is the relationship between accelerations for the blocks A and B?
aB = 2aA
aA = 2aB
aB = -2aA
aA = -2aB
- 5−3√216g
- 5−√316g
- 5+3√216g
- 5+√316g
In the arrangement shown in figure find the tensions in the rope and accelerations of the masses m1 and m2 and pulleys P1 and P2 when the system is set free to move. Assume the pulleys to be massless and strings are light and inextensible.
p) T (i) m1g
q) a1 (ii) m2g
r) a2 (iii) (m1 - m2)g
s) ap1 (iv) g downward
t) ap2 (v) g upward
(vi) 3g downward
- p -(ii); q-(v); r- (v); s-(iv); t-(vi)
- p -(ii); q-(vi); r- (iv); s-(v); t-(iv)
- p -(i); q-(vi); r- (v); s-(vi); t-(iv)
- p -(i); q-(iv); r- (iv); s-(vi); t-(iv)
In the arrangement shown in figure find the tensions in the rope and accelerations of the masses m1 and m2 and pulleys P1 and P2 when the system is set free to move. Assume the pulleys to be massless and strings are light and inextensible.
p) T (i) m1g
q) a1 (ii) m2g
r) a2 (iii) (m1 - m2)g
s) ap1 (iv) g downward
t) ap2 (v) g upward
(vi) 3g downward
p -(ii); q-(vi); r- (iv); s-(v); t-(iv)
p -(i); q-(vi); r- (v); s-(vi); t-(iv)
p -(i); q-(iv); r- (iv); s-(vi); t-(iv)
p -(ii); q-(v); r- (v); s-(iv); t-(vi)
Two blocks each of mass M are connected to the ends of a light frame as shown in below figure. The frame is rotated about the vertical line of symmetry. The rod breaks if the tension in it exceeds T0. Find the maximum frequency with which the frame may be rotated without breaking the rod.