Applications of Newton’s Laws
PHXI05:LAWS OF MOTION

363100 Two blocks \(A\) and \(B\) of masses 3 \(m\) and \(m\) respectively are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in figure. The magnitudes of acceleration of \(A\) and \(B\) immediately after the string is cut, are respectively
supporting img

1 \(\frac{g}{3},g\)
2 \(g,g\)
3 \(\frac{g}{3},\frac{g}{3}\)
4 \(g,\frac{g}{3}\)
PHXI05:LAWS OF MOTION

363101 Find the acceleration of 3 \(kg\) mass when acceleration of 2 \(kg\) mass is \(2m{s^{ - 2}}\) as shown in figure.
supporting img

1 \(3\,m{s^{ - 2}}\)
2 \(2\,m{s^{ - 2}}\)
3 \(0.5\,m{s^{ - 2}}\)
4 \({\rm{Zero}}\)
PHXI05:LAWS OF MOTION

363102 A bead of mass \(m\) is attached to one end spring of natural length \(R\) and spring constant \(K = \frac{{(1 + \sqrt 3 )mg}}{R}\). The other end of the spring is fixed at a point \(A\) on a smooth vertical ring of radius \(R\). The normal reaction at \(B\) just after it is released to move is:

1 \(\frac{{mg}}{2}\)
2 \(\frac{{3\sqrt 3 \,mg}}{2}\)
3 \(\frac{{\sqrt 3 \,mg}}{2}\)
4 \(\sqrt 3 \,mg\)
PHXI05:LAWS OF MOTION

363103 Two blocks \(A\) and \(B\) of masses 2 \(m\) and \(m\), respectively are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in the figure. The magnitudes of acceleration of \(A\) and \(B\) immediately after the string is cut, are respectively:
supporting img

1 \(g,\frac{g}{2}\)
2 \(\frac{g}{2},g\)
3 \(g,g\)
4 \(\frac{g}{2},\frac{g}{2}\)
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PHXI05:LAWS OF MOTION

363100 Two blocks \(A\) and \(B\) of masses 3 \(m\) and \(m\) respectively are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in figure. The magnitudes of acceleration of \(A\) and \(B\) immediately after the string is cut, are respectively
supporting img

1 \(\frac{g}{3},g\)
2 \(g,g\)
3 \(\frac{g}{3},\frac{g}{3}\)
4 \(g,\frac{g}{3}\)
PHXI05:LAWS OF MOTION

363101 Find the acceleration of 3 \(kg\) mass when acceleration of 2 \(kg\) mass is \(2m{s^{ - 2}}\) as shown in figure.
supporting img

1 \(3\,m{s^{ - 2}}\)
2 \(2\,m{s^{ - 2}}\)
3 \(0.5\,m{s^{ - 2}}\)
4 \({\rm{Zero}}\)
PHXI05:LAWS OF MOTION

363102 A bead of mass \(m\) is attached to one end spring of natural length \(R\) and spring constant \(K = \frac{{(1 + \sqrt 3 )mg}}{R}\). The other end of the spring is fixed at a point \(A\) on a smooth vertical ring of radius \(R\). The normal reaction at \(B\) just after it is released to move is:

1 \(\frac{{mg}}{2}\)
2 \(\frac{{3\sqrt 3 \,mg}}{2}\)
3 \(\frac{{\sqrt 3 \,mg}}{2}\)
4 \(\sqrt 3 \,mg\)
PHXI05:LAWS OF MOTION

363103 Two blocks \(A\) and \(B\) of masses 2 \(m\) and \(m\), respectively are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in the figure. The magnitudes of acceleration of \(A\) and \(B\) immediately after the string is cut, are respectively:
supporting img

1 \(g,\frac{g}{2}\)
2 \(\frac{g}{2},g\)
3 \(g,g\)
4 \(\frac{g}{2},\frac{g}{2}\)
PHXI05:LAWS OF MOTION

363100 Two blocks \(A\) and \(B\) of masses 3 \(m\) and \(m\) respectively are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in figure. The magnitudes of acceleration of \(A\) and \(B\) immediately after the string is cut, are respectively
supporting img

1 \(\frac{g}{3},g\)
2 \(g,g\)
3 \(\frac{g}{3},\frac{g}{3}\)
4 \(g,\frac{g}{3}\)
PHXI05:LAWS OF MOTION

363101 Find the acceleration of 3 \(kg\) mass when acceleration of 2 \(kg\) mass is \(2m{s^{ - 2}}\) as shown in figure.
supporting img

1 \(3\,m{s^{ - 2}}\)
2 \(2\,m{s^{ - 2}}\)
3 \(0.5\,m{s^{ - 2}}\)
4 \({\rm{Zero}}\)
PHXI05:LAWS OF MOTION

363102 A bead of mass \(m\) is attached to one end spring of natural length \(R\) and spring constant \(K = \frac{{(1 + \sqrt 3 )mg}}{R}\). The other end of the spring is fixed at a point \(A\) on a smooth vertical ring of radius \(R\). The normal reaction at \(B\) just after it is released to move is:

1 \(\frac{{mg}}{2}\)
2 \(\frac{{3\sqrt 3 \,mg}}{2}\)
3 \(\frac{{\sqrt 3 \,mg}}{2}\)
4 \(\sqrt 3 \,mg\)
PHXI05:LAWS OF MOTION

363103 Two blocks \(A\) and \(B\) of masses 2 \(m\) and \(m\), respectively are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in the figure. The magnitudes of acceleration of \(A\) and \(B\) immediately after the string is cut, are respectively:
supporting img

1 \(g,\frac{g}{2}\)
2 \(\frac{g}{2},g\)
3 \(g,g\)
4 \(\frac{g}{2},\frac{g}{2}\)
PHXI05:LAWS OF MOTION

363100 Two blocks \(A\) and \(B\) of masses 3 \(m\) and \(m\) respectively are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in figure. The magnitudes of acceleration of \(A\) and \(B\) immediately after the string is cut, are respectively
supporting img

1 \(\frac{g}{3},g\)
2 \(g,g\)
3 \(\frac{g}{3},\frac{g}{3}\)
4 \(g,\frac{g}{3}\)
PHXI05:LAWS OF MOTION

363101 Find the acceleration of 3 \(kg\) mass when acceleration of 2 \(kg\) mass is \(2m{s^{ - 2}}\) as shown in figure.
supporting img

1 \(3\,m{s^{ - 2}}\)
2 \(2\,m{s^{ - 2}}\)
3 \(0.5\,m{s^{ - 2}}\)
4 \({\rm{Zero}}\)
PHXI05:LAWS OF MOTION

363102 A bead of mass \(m\) is attached to one end spring of natural length \(R\) and spring constant \(K = \frac{{(1 + \sqrt 3 )mg}}{R}\). The other end of the spring is fixed at a point \(A\) on a smooth vertical ring of radius \(R\). The normal reaction at \(B\) just after it is released to move is:

1 \(\frac{{mg}}{2}\)
2 \(\frac{{3\sqrt 3 \,mg}}{2}\)
3 \(\frac{{\sqrt 3 \,mg}}{2}\)
4 \(\sqrt 3 \,mg\)
PHXI05:LAWS OF MOTION

363103 Two blocks \(A\) and \(B\) of masses 2 \(m\) and \(m\), respectively are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in the figure. The magnitudes of acceleration of \(A\) and \(B\) immediately after the string is cut, are respectively:
supporting img

1 \(g,\frac{g}{2}\)
2 \(\frac{g}{2},g\)
3 \(g,g\)
4 \(\frac{g}{2},\frac{g}{2}\)