Torque and Angular Momentum
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366153 Four equal and parallel forces are acting on a rod of length \(100\,cm\), as shown in figure, at distances of \({20 {~cm}, 50 {~cm}, 60 {~cm}}\) and \(80\,cm\) respectively from one end of the rod. Under the influence of these forces, the rod (neglecting its weight)
supporting img

1 experiences no torque
2 experiences torque
3 experiences a linear motion
4 experiences torque and also a linear motion
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366154 A lever system is shown in the figure below.
\({F_1}\) is usually some weight to be lifted and force
\({F_2}\) is effort applied to lift the load. Choose the correct statements.
I.
The ratio \(\frac{{{F_1}}}{{{F_2}}}\) is equal to mechanical advantage, i.e., \(MA = \frac{{{F_1}}}{{{F_2}}} = \frac{{{d_2}}}{{{d_1}}}\).
II.
If the effort arm \({d_2}\) is larger than the load arm, then a small effort can be used to lift a large load.
III.
At equilibrium load arm \( \times \) effort arm \( = \) load \( \times \) effort.
supporting img

1 Both I and III
2 Both III and II
3 Both I and II
4 All of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366155 A false balance has equal arms. An object weighs \(W_{1}\) when placed in one pan and \(W_{2}\) when placed in the other pan. The true weight \(W\) of the object is

1 \(\dfrac{W_{1}+W_{2}}{2}\)
2 \(\sqrt{W_{1} W_{2}}\)
3 \(\dfrac{2 W_{1} W_{2}}{W_{1}+W_{2}}\)
4 \(\sqrt{W_{1}^{2} W_{2}^{2}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366156 A ladder rests against a frictionless vertical wall, with its upper end \(6\;\,m\) above the ground and the lower end \(4\,\;m\) away from the wall. The weight of the ladder is \(500\;N\) and its \(C.G\). at 1/ 3 rd distance from the lower end. Wall's reaction will be, (in newton):

1 333
2 111
3 129
4 222
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366153 Four equal and parallel forces are acting on a rod of length \(100\,cm\), as shown in figure, at distances of \({20 {~cm}, 50 {~cm}, 60 {~cm}}\) and \(80\,cm\) respectively from one end of the rod. Under the influence of these forces, the rod (neglecting its weight)
supporting img

1 experiences no torque
2 experiences torque
3 experiences a linear motion
4 experiences torque and also a linear motion
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366154 A lever system is shown in the figure below.
\({F_1}\) is usually some weight to be lifted and force
\({F_2}\) is effort applied to lift the load. Choose the correct statements.
I.
The ratio \(\frac{{{F_1}}}{{{F_2}}}\) is equal to mechanical advantage, i.e., \(MA = \frac{{{F_1}}}{{{F_2}}} = \frac{{{d_2}}}{{{d_1}}}\).
II.
If the effort arm \({d_2}\) is larger than the load arm, then a small effort can be used to lift a large load.
III.
At equilibrium load arm \( \times \) effort arm \( = \) load \( \times \) effort.
supporting img

1 Both I and III
2 Both III and II
3 Both I and II
4 All of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366155 A false balance has equal arms. An object weighs \(W_{1}\) when placed in one pan and \(W_{2}\) when placed in the other pan. The true weight \(W\) of the object is

1 \(\dfrac{W_{1}+W_{2}}{2}\)
2 \(\sqrt{W_{1} W_{2}}\)
3 \(\dfrac{2 W_{1} W_{2}}{W_{1}+W_{2}}\)
4 \(\sqrt{W_{1}^{2} W_{2}^{2}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366156 A ladder rests against a frictionless vertical wall, with its upper end \(6\;\,m\) above the ground and the lower end \(4\,\;m\) away from the wall. The weight of the ladder is \(500\;N\) and its \(C.G\). at 1/ 3 rd distance from the lower end. Wall's reaction will be, (in newton):

1 333
2 111
3 129
4 222
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366153 Four equal and parallel forces are acting on a rod of length \(100\,cm\), as shown in figure, at distances of \({20 {~cm}, 50 {~cm}, 60 {~cm}}\) and \(80\,cm\) respectively from one end of the rod. Under the influence of these forces, the rod (neglecting its weight)
supporting img

1 experiences no torque
2 experiences torque
3 experiences a linear motion
4 experiences torque and also a linear motion
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366154 A lever system is shown in the figure below.
\({F_1}\) is usually some weight to be lifted and force
\({F_2}\) is effort applied to lift the load. Choose the correct statements.
I.
The ratio \(\frac{{{F_1}}}{{{F_2}}}\) is equal to mechanical advantage, i.e., \(MA = \frac{{{F_1}}}{{{F_2}}} = \frac{{{d_2}}}{{{d_1}}}\).
II.
If the effort arm \({d_2}\) is larger than the load arm, then a small effort can be used to lift a large load.
III.
At equilibrium load arm \( \times \) effort arm \( = \) load \( \times \) effort.
supporting img

1 Both I and III
2 Both III and II
3 Both I and II
4 All of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366155 A false balance has equal arms. An object weighs \(W_{1}\) when placed in one pan and \(W_{2}\) when placed in the other pan. The true weight \(W\) of the object is

1 \(\dfrac{W_{1}+W_{2}}{2}\)
2 \(\sqrt{W_{1} W_{2}}\)
3 \(\dfrac{2 W_{1} W_{2}}{W_{1}+W_{2}}\)
4 \(\sqrt{W_{1}^{2} W_{2}^{2}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366156 A ladder rests against a frictionless vertical wall, with its upper end \(6\;\,m\) above the ground and the lower end \(4\,\;m\) away from the wall. The weight of the ladder is \(500\;N\) and its \(C.G\). at 1/ 3 rd distance from the lower end. Wall's reaction will be, (in newton):

1 333
2 111
3 129
4 222
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366153 Four equal and parallel forces are acting on a rod of length \(100\,cm\), as shown in figure, at distances of \({20 {~cm}, 50 {~cm}, 60 {~cm}}\) and \(80\,cm\) respectively from one end of the rod. Under the influence of these forces, the rod (neglecting its weight)
supporting img

1 experiences no torque
2 experiences torque
3 experiences a linear motion
4 experiences torque and also a linear motion
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366154 A lever system is shown in the figure below.
\({F_1}\) is usually some weight to be lifted and force
\({F_2}\) is effort applied to lift the load. Choose the correct statements.
I.
The ratio \(\frac{{{F_1}}}{{{F_2}}}\) is equal to mechanical advantage, i.e., \(MA = \frac{{{F_1}}}{{{F_2}}} = \frac{{{d_2}}}{{{d_1}}}\).
II.
If the effort arm \({d_2}\) is larger than the load arm, then a small effort can be used to lift a large load.
III.
At equilibrium load arm \( \times \) effort arm \( = \) load \( \times \) effort.
supporting img

1 Both I and III
2 Both III and II
3 Both I and II
4 All of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366155 A false balance has equal arms. An object weighs \(W_{1}\) when placed in one pan and \(W_{2}\) when placed in the other pan. The true weight \(W\) of the object is

1 \(\dfrac{W_{1}+W_{2}}{2}\)
2 \(\sqrt{W_{1} W_{2}}\)
3 \(\dfrac{2 W_{1} W_{2}}{W_{1}+W_{2}}\)
4 \(\sqrt{W_{1}^{2} W_{2}^{2}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366156 A ladder rests against a frictionless vertical wall, with its upper end \(6\;\,m\) above the ground and the lower end \(4\,\;m\) away from the wall. The weight of the ladder is \(500\;N\) and its \(C.G\). at 1/ 3 rd distance from the lower end. Wall's reaction will be, (in newton):

1 333
2 111
3 129
4 222