Applications of Newton’s Laws
PHXI05:LAWS OF MOTION

363134 A wooden block of mass \(5\,\,kg\) rests on a soft horizontal floor. When an iron cylinder of mass \(25\,\,kg\) is placed on the top of the block, the floor yields steadily and the block and the cylinder together go down with an acceleration of \(0.1\,\;m{s^{ - 2}}\). The action force of the system on the floor is equal to

1 \(196{\rm{ }}N\)
2 \(291 N\)
3 \(297{\rm{ }}N\)
4 \(294\,N\)
PHXI05:LAWS OF MOTION

363135 Sixteen beads in a string are placed on a smooth inclined plane of inclination sin-1(1/3) such that some of them lie along the incline whereas the rest hang over the top of the plane. If acceleration at first bead is \(g\)/2, the arrangement of beads is that
supporting img

1 12 hang vertically
2 10 lie along inclined plane
3 8 lie along inclined plane
4 10 hang vertically
PHXI05:LAWS OF MOTION

363136 A coin is placed on a horizontal platform which undergoes vertical simple harmonic motion of angular frequency \(\omega \). The amplitude of oscillation is gradually increased. The coin will leave contact with the platform for the first time

1 At the mean position of the platform
2 For an amplitude of \(g/{\omega ^2}\)
3 For an amplitude of \({g^2}/{\omega ^2}\)
4 At the highest position of the platform
PHXI05:LAWS OF MOTION

363137 Three bolcks are placed at rest on a smooth inclined plane with force acting on \({m_1}\) parallel to the inclined plane. The contact force between \({m_2}\) and \({m_3}\) is
supporting img

1 \(\frac{{\left( {{m_1} + {m_2} + {m_3}} \right)F}}{{{m_3}}}\)
2 \(F - \left( {{m_1} + {m_2}} \right)g\)
3 \(\frac{{{m_3}F}}{{{m_1} + {m_2} + {m_3}}}\)
4 \(F - \left( {{m_1} + {m_2} + {m_3}} \right)g\)
PHXI05:LAWS OF MOTION

363134 A wooden block of mass \(5\,\,kg\) rests on a soft horizontal floor. When an iron cylinder of mass \(25\,\,kg\) is placed on the top of the block, the floor yields steadily and the block and the cylinder together go down with an acceleration of \(0.1\,\;m{s^{ - 2}}\). The action force of the system on the floor is equal to

1 \(196{\rm{ }}N\)
2 \(291 N\)
3 \(297{\rm{ }}N\)
4 \(294\,N\)
PHXI05:LAWS OF MOTION

363135 Sixteen beads in a string are placed on a smooth inclined plane of inclination sin-1(1/3) such that some of them lie along the incline whereas the rest hang over the top of the plane. If acceleration at first bead is \(g\)/2, the arrangement of beads is that
supporting img

1 12 hang vertically
2 10 lie along inclined plane
3 8 lie along inclined plane
4 10 hang vertically
PHXI05:LAWS OF MOTION

363136 A coin is placed on a horizontal platform which undergoes vertical simple harmonic motion of angular frequency \(\omega \). The amplitude of oscillation is gradually increased. The coin will leave contact with the platform for the first time

1 At the mean position of the platform
2 For an amplitude of \(g/{\omega ^2}\)
3 For an amplitude of \({g^2}/{\omega ^2}\)
4 At the highest position of the platform
PHXI05:LAWS OF MOTION

363137 Three bolcks are placed at rest on a smooth inclined plane with force acting on \({m_1}\) parallel to the inclined plane. The contact force between \({m_2}\) and \({m_3}\) is
supporting img

1 \(\frac{{\left( {{m_1} + {m_2} + {m_3}} \right)F}}{{{m_3}}}\)
2 \(F - \left( {{m_1} + {m_2}} \right)g\)
3 \(\frac{{{m_3}F}}{{{m_1} + {m_2} + {m_3}}}\)
4 \(F - \left( {{m_1} + {m_2} + {m_3}} \right)g\)
PHXI05:LAWS OF MOTION

363134 A wooden block of mass \(5\,\,kg\) rests on a soft horizontal floor. When an iron cylinder of mass \(25\,\,kg\) is placed on the top of the block, the floor yields steadily and the block and the cylinder together go down with an acceleration of \(0.1\,\;m{s^{ - 2}}\). The action force of the system on the floor is equal to

1 \(196{\rm{ }}N\)
2 \(291 N\)
3 \(297{\rm{ }}N\)
4 \(294\,N\)
PHXI05:LAWS OF MOTION

363135 Sixteen beads in a string are placed on a smooth inclined plane of inclination sin-1(1/3) such that some of them lie along the incline whereas the rest hang over the top of the plane. If acceleration at first bead is \(g\)/2, the arrangement of beads is that
supporting img

1 12 hang vertically
2 10 lie along inclined plane
3 8 lie along inclined plane
4 10 hang vertically
PHXI05:LAWS OF MOTION

363136 A coin is placed on a horizontal platform which undergoes vertical simple harmonic motion of angular frequency \(\omega \). The amplitude of oscillation is gradually increased. The coin will leave contact with the platform for the first time

1 At the mean position of the platform
2 For an amplitude of \(g/{\omega ^2}\)
3 For an amplitude of \({g^2}/{\omega ^2}\)
4 At the highest position of the platform
PHXI05:LAWS OF MOTION

363137 Three bolcks are placed at rest on a smooth inclined plane with force acting on \({m_1}\) parallel to the inclined plane. The contact force between \({m_2}\) and \({m_3}\) is
supporting img

1 \(\frac{{\left( {{m_1} + {m_2} + {m_3}} \right)F}}{{{m_3}}}\)
2 \(F - \left( {{m_1} + {m_2}} \right)g\)
3 \(\frac{{{m_3}F}}{{{m_1} + {m_2} + {m_3}}}\)
4 \(F - \left( {{m_1} + {m_2} + {m_3}} \right)g\)
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PHXI05:LAWS OF MOTION

363134 A wooden block of mass \(5\,\,kg\) rests on a soft horizontal floor. When an iron cylinder of mass \(25\,\,kg\) is placed on the top of the block, the floor yields steadily and the block and the cylinder together go down with an acceleration of \(0.1\,\;m{s^{ - 2}}\). The action force of the system on the floor is equal to

1 \(196{\rm{ }}N\)
2 \(291 N\)
3 \(297{\rm{ }}N\)
4 \(294\,N\)
PHXI05:LAWS OF MOTION

363135 Sixteen beads in a string are placed on a smooth inclined plane of inclination sin-1(1/3) such that some of them lie along the incline whereas the rest hang over the top of the plane. If acceleration at first bead is \(g\)/2, the arrangement of beads is that
supporting img

1 12 hang vertically
2 10 lie along inclined plane
3 8 lie along inclined plane
4 10 hang vertically
PHXI05:LAWS OF MOTION

363136 A coin is placed on a horizontal platform which undergoes vertical simple harmonic motion of angular frequency \(\omega \). The amplitude of oscillation is gradually increased. The coin will leave contact with the platform for the first time

1 At the mean position of the platform
2 For an amplitude of \(g/{\omega ^2}\)
3 For an amplitude of \({g^2}/{\omega ^2}\)
4 At the highest position of the platform
PHXI05:LAWS OF MOTION

363137 Three bolcks are placed at rest on a smooth inclined plane with force acting on \({m_1}\) parallel to the inclined plane. The contact force between \({m_2}\) and \({m_3}\) is
supporting img

1 \(\frac{{\left( {{m_1} + {m_2} + {m_3}} \right)F}}{{{m_3}}}\)
2 \(F - \left( {{m_1} + {m_2}} \right)g\)
3 \(\frac{{{m_3}F}}{{{m_1} + {m_2} + {m_3}}}\)
4 \(F - \left( {{m_1} + {m_2} + {m_3}} \right)g\)