Equilibrium of a Particle
PHXI05:LAWS OF MOTION

363286 A man of mass \(m\) stands on a frame of mass \(M\). He pulls on a light rope, which passes over a pulley. The other end of the rope is attached to the frame. For the system to be in equilibrium, what force must the man exert on the rope?
supporting img

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

363287 A uniform sphere of weight \(W\) and radius 3 \(m\) is being held by a string of length 2 \(m\). Attached to a frictionless wall as shown in the figure. The tension in the string will be :
supporting img

1 \(5\,W/4\)
2 \(15\,W/4\)
3 \(15\,W/16\)
4 \({\rm{None }}\,{\rm{of }}\,{\rm{these}}\)
PHXI05:LAWS OF MOTION

363288 Assertion :
If large number of concurrent forces acting on the same point, then the point will be in equilibrium, if sum of all the forces is equal to zero.
Reason :
Equilibrium of a particle in mechanics refers to the situation when the net external force on the particle is non zero.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI05:LAWS OF MOTION

363289 For the arrangement shown in the figure. The extension in the spring, for which the block remains at rest is \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)
supporting img

1 \(20\;cm\)
2 \(25\;cm\)
3 \(15\;cm\)
4 \(30\;cm\)
PHXI05:LAWS OF MOTION

363286 A man of mass \(m\) stands on a frame of mass \(M\). He pulls on a light rope, which passes over a pulley. The other end of the rope is attached to the frame. For the system to be in equilibrium, what force must the man exert on the rope?
supporting img

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

363287 A uniform sphere of weight \(W\) and radius 3 \(m\) is being held by a string of length 2 \(m\). Attached to a frictionless wall as shown in the figure. The tension in the string will be :
supporting img

1 \(5\,W/4\)
2 \(15\,W/4\)
3 \(15\,W/16\)
4 \({\rm{None }}\,{\rm{of }}\,{\rm{these}}\)
PHXI05:LAWS OF MOTION

363288 Assertion :
If large number of concurrent forces acting on the same point, then the point will be in equilibrium, if sum of all the forces is equal to zero.
Reason :
Equilibrium of a particle in mechanics refers to the situation when the net external force on the particle is non zero.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI05:LAWS OF MOTION

363289 For the arrangement shown in the figure. The extension in the spring, for which the block remains at rest is \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)
supporting img

1 \(20\;cm\)
2 \(25\;cm\)
3 \(15\;cm\)
4 \(30\;cm\)
PHXI05:LAWS OF MOTION

363286 A man of mass \(m\) stands on a frame of mass \(M\). He pulls on a light rope, which passes over a pulley. The other end of the rope is attached to the frame. For the system to be in equilibrium, what force must the man exert on the rope?
supporting img

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

363287 A uniform sphere of weight \(W\) and radius 3 \(m\) is being held by a string of length 2 \(m\). Attached to a frictionless wall as shown in the figure. The tension in the string will be :
supporting img

1 \(5\,W/4\)
2 \(15\,W/4\)
3 \(15\,W/16\)
4 \({\rm{None }}\,{\rm{of }}\,{\rm{these}}\)
PHXI05:LAWS OF MOTION

363288 Assertion :
If large number of concurrent forces acting on the same point, then the point will be in equilibrium, if sum of all the forces is equal to zero.
Reason :
Equilibrium of a particle in mechanics refers to the situation when the net external force on the particle is non zero.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI05:LAWS OF MOTION

363289 For the arrangement shown in the figure. The extension in the spring, for which the block remains at rest is \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)
supporting img

1 \(20\;cm\)
2 \(25\;cm\)
3 \(15\;cm\)
4 \(30\;cm\)
PHXI05:LAWS OF MOTION

363286 A man of mass \(m\) stands on a frame of mass \(M\). He pulls on a light rope, which passes over a pulley. The other end of the rope is attached to the frame. For the system to be in equilibrium, what force must the man exert on the rope?
supporting img

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

363287 A uniform sphere of weight \(W\) and radius 3 \(m\) is being held by a string of length 2 \(m\). Attached to a frictionless wall as shown in the figure. The tension in the string will be :
supporting img

1 \(5\,W/4\)
2 \(15\,W/4\)
3 \(15\,W/16\)
4 \({\rm{None }}\,{\rm{of }}\,{\rm{these}}\)
PHXI05:LAWS OF MOTION

363288 Assertion :
If large number of concurrent forces acting on the same point, then the point will be in equilibrium, if sum of all the forces is equal to zero.
Reason :
Equilibrium of a particle in mechanics refers to the situation when the net external force on the particle is non zero.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI05:LAWS OF MOTION

363289 For the arrangement shown in the figure. The extension in the spring, for which the block remains at rest is \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)
supporting img

1 \(20\;cm\)
2 \(25\;cm\)
3 \(15\;cm\)
4 \(30\;cm\)