Constrain Motion
PHXI05:LAWS OF MOTION

363246 Block \(A\) is given an acceleration \(12 {~m} {~s}^{-2}\) towards left as shown in figure. Assuming block \(B\) always remains horizontal, find the acceleration of \(B\).
supporting img

1 \(1\,m{s^1}\)
2 \(2\,m{s^1}\)
3 \(4\,m{s^1}\)
4 \(8\,m{s^1}\)
PHXI05:LAWS OF MOTION

363247 In the figure shown the velocity of lift is \(2\;m{\rm{/}}s\) while string is winding on the motor shaft with velocity \(2\;m{\rm{/}}s\) and block \(A\) is moving downwards with a velocity of \(2\;m{\rm{/}}s\), then find out the velocity of block \(B\)
supporting img

1 \(2\,m{\rm{/}}s \uparrow \)
2 \(2\,m{\rm{/}}s \downarrow \)
3 \(4\,m{\rm{/}}s \uparrow \)
4 None of these
PHXI05:LAWS OF MOTION

363248 Two blocks are connected by an inextensible string. Find the relation between their accelerations.
supporting img

1 \(4\,{a_2} = 3\,{a_1}\)
2 \(3\,{a_2} = 4\,{a_1}\)
3 \(12\,{a_2} = {a_1}\)
4 \(4{a_2} = {a_1}\)
PHXI05:LAWS OF MOTION

363249 If the wedge is moving towards right side with velocity \(u\) then find net velocity of block \(A\).
supporting img

1 \(u\)
2 \(\sqrt 2 \,u\)
3 \(\sqrt 3 \,u\)
4 \(\sqrt 5 \,u\)
PHXI05:LAWS OF MOTION

363250 In the arrangement shown, the ends \(A\) and \(B\) of an unstretchable string move downwards with uniform speed of \(5\;m{\rm{/}}s.\) Pulleys \(X\) and \(Y\) are fixed. Mass \(M\) moves upwards with a speed is
(Take \(\sqrt{2}=1.41\) )
supporting img

1 \(5\,m/s\)
2 \(3.07\,m/s\)
3 \(4.19\,m/s\)
4 \(7.05\,m/s\)
PHXI05:LAWS OF MOTION

363246 Block \(A\) is given an acceleration \(12 {~m} {~s}^{-2}\) towards left as shown in figure. Assuming block \(B\) always remains horizontal, find the acceleration of \(B\).
supporting img

1 \(1\,m{s^1}\)
2 \(2\,m{s^1}\)
3 \(4\,m{s^1}\)
4 \(8\,m{s^1}\)
PHXI05:LAWS OF MOTION

363247 In the figure shown the velocity of lift is \(2\;m{\rm{/}}s\) while string is winding on the motor shaft with velocity \(2\;m{\rm{/}}s\) and block \(A\) is moving downwards with a velocity of \(2\;m{\rm{/}}s\), then find out the velocity of block \(B\)
supporting img

1 \(2\,m{\rm{/}}s \uparrow \)
2 \(2\,m{\rm{/}}s \downarrow \)
3 \(4\,m{\rm{/}}s \uparrow \)
4 None of these
PHXI05:LAWS OF MOTION

363248 Two blocks are connected by an inextensible string. Find the relation between their accelerations.
supporting img

1 \(4\,{a_2} = 3\,{a_1}\)
2 \(3\,{a_2} = 4\,{a_1}\)
3 \(12\,{a_2} = {a_1}\)
4 \(4{a_2} = {a_1}\)
PHXI05:LAWS OF MOTION

363249 If the wedge is moving towards right side with velocity \(u\) then find net velocity of block \(A\).
supporting img

1 \(u\)
2 \(\sqrt 2 \,u\)
3 \(\sqrt 3 \,u\)
4 \(\sqrt 5 \,u\)
PHXI05:LAWS OF MOTION

363250 In the arrangement shown, the ends \(A\) and \(B\) of an unstretchable string move downwards with uniform speed of \(5\;m{\rm{/}}s.\) Pulleys \(X\) and \(Y\) are fixed. Mass \(M\) moves upwards with a speed is
(Take \(\sqrt{2}=1.41\) )
supporting img

1 \(5\,m/s\)
2 \(3.07\,m/s\)
3 \(4.19\,m/s\)
4 \(7.05\,m/s\)
PHXI05:LAWS OF MOTION

363246 Block \(A\) is given an acceleration \(12 {~m} {~s}^{-2}\) towards left as shown in figure. Assuming block \(B\) always remains horizontal, find the acceleration of \(B\).
supporting img

1 \(1\,m{s^1}\)
2 \(2\,m{s^1}\)
3 \(4\,m{s^1}\)
4 \(8\,m{s^1}\)
PHXI05:LAWS OF MOTION

363247 In the figure shown the velocity of lift is \(2\;m{\rm{/}}s\) while string is winding on the motor shaft with velocity \(2\;m{\rm{/}}s\) and block \(A\) is moving downwards with a velocity of \(2\;m{\rm{/}}s\), then find out the velocity of block \(B\)
supporting img

1 \(2\,m{\rm{/}}s \uparrow \)
2 \(2\,m{\rm{/}}s \downarrow \)
3 \(4\,m{\rm{/}}s \uparrow \)
4 None of these
PHXI05:LAWS OF MOTION

363248 Two blocks are connected by an inextensible string. Find the relation between their accelerations.
supporting img

1 \(4\,{a_2} = 3\,{a_1}\)
2 \(3\,{a_2} = 4\,{a_1}\)
3 \(12\,{a_2} = {a_1}\)
4 \(4{a_2} = {a_1}\)
PHXI05:LAWS OF MOTION

363249 If the wedge is moving towards right side with velocity \(u\) then find net velocity of block \(A\).
supporting img

1 \(u\)
2 \(\sqrt 2 \,u\)
3 \(\sqrt 3 \,u\)
4 \(\sqrt 5 \,u\)
PHXI05:LAWS OF MOTION

363250 In the arrangement shown, the ends \(A\) and \(B\) of an unstretchable string move downwards with uniform speed of \(5\;m{\rm{/}}s.\) Pulleys \(X\) and \(Y\) are fixed. Mass \(M\) moves upwards with a speed is
(Take \(\sqrt{2}=1.41\) )
supporting img

1 \(5\,m/s\)
2 \(3.07\,m/s\)
3 \(4.19\,m/s\)
4 \(7.05\,m/s\)
PHXI05:LAWS OF MOTION

363246 Block \(A\) is given an acceleration \(12 {~m} {~s}^{-2}\) towards left as shown in figure. Assuming block \(B\) always remains horizontal, find the acceleration of \(B\).
supporting img

1 \(1\,m{s^1}\)
2 \(2\,m{s^1}\)
3 \(4\,m{s^1}\)
4 \(8\,m{s^1}\)
PHXI05:LAWS OF MOTION

363247 In the figure shown the velocity of lift is \(2\;m{\rm{/}}s\) while string is winding on the motor shaft with velocity \(2\;m{\rm{/}}s\) and block \(A\) is moving downwards with a velocity of \(2\;m{\rm{/}}s\), then find out the velocity of block \(B\)
supporting img

1 \(2\,m{\rm{/}}s \uparrow \)
2 \(2\,m{\rm{/}}s \downarrow \)
3 \(4\,m{\rm{/}}s \uparrow \)
4 None of these
PHXI05:LAWS OF MOTION

363248 Two blocks are connected by an inextensible string. Find the relation between their accelerations.
supporting img

1 \(4\,{a_2} = 3\,{a_1}\)
2 \(3\,{a_2} = 4\,{a_1}\)
3 \(12\,{a_2} = {a_1}\)
4 \(4{a_2} = {a_1}\)
PHXI05:LAWS OF MOTION

363249 If the wedge is moving towards right side with velocity \(u\) then find net velocity of block \(A\).
supporting img

1 \(u\)
2 \(\sqrt 2 \,u\)
3 \(\sqrt 3 \,u\)
4 \(\sqrt 5 \,u\)
PHXI05:LAWS OF MOTION

363250 In the arrangement shown, the ends \(A\) and \(B\) of an unstretchable string move downwards with uniform speed of \(5\;m{\rm{/}}s.\) Pulleys \(X\) and \(Y\) are fixed. Mass \(M\) moves upwards with a speed is
(Take \(\sqrt{2}=1.41\) )
supporting img

1 \(5\,m/s\)
2 \(3.07\,m/s\)
3 \(4.19\,m/s\)
4 \(7.05\,m/s\)
PHXI05:LAWS OF MOTION

363246 Block \(A\) is given an acceleration \(12 {~m} {~s}^{-2}\) towards left as shown in figure. Assuming block \(B\) always remains horizontal, find the acceleration of \(B\).
supporting img

1 \(1\,m{s^1}\)
2 \(2\,m{s^1}\)
3 \(4\,m{s^1}\)
4 \(8\,m{s^1}\)
PHXI05:LAWS OF MOTION

363247 In the figure shown the velocity of lift is \(2\;m{\rm{/}}s\) while string is winding on the motor shaft with velocity \(2\;m{\rm{/}}s\) and block \(A\) is moving downwards with a velocity of \(2\;m{\rm{/}}s\), then find out the velocity of block \(B\)
supporting img

1 \(2\,m{\rm{/}}s \uparrow \)
2 \(2\,m{\rm{/}}s \downarrow \)
3 \(4\,m{\rm{/}}s \uparrow \)
4 None of these
PHXI05:LAWS OF MOTION

363248 Two blocks are connected by an inextensible string. Find the relation between their accelerations.
supporting img

1 \(4\,{a_2} = 3\,{a_1}\)
2 \(3\,{a_2} = 4\,{a_1}\)
3 \(12\,{a_2} = {a_1}\)
4 \(4{a_2} = {a_1}\)
PHXI05:LAWS OF MOTION

363249 If the wedge is moving towards right side with velocity \(u\) then find net velocity of block \(A\).
supporting img

1 \(u\)
2 \(\sqrt 2 \,u\)
3 \(\sqrt 3 \,u\)
4 \(\sqrt 5 \,u\)
PHXI05:LAWS OF MOTION

363250 In the arrangement shown, the ends \(A\) and \(B\) of an unstretchable string move downwards with uniform speed of \(5\;m{\rm{/}}s.\) Pulleys \(X\) and \(Y\) are fixed. Mass \(M\) moves upwards with a speed is
(Take \(\sqrt{2}=1.41\) )
supporting img

1 \(5\,m/s\)
2 \(3.07\,m/s\)
3 \(4.19\,m/s\)
4 \(7.05\,m/s\)