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

366136 A uniform \(\operatorname{rod} A B\) is suspended from a point \(X\), at a variable distance \(x\) from \(\mathrm{A}\), as shown. To make the rod horizontal, a mass \(m\) is suspended from its end A. A set of \((m, x)\) values is recorded. The appropriate variables that give a straight line, when plotted, are:
supporting img

1 \(m, x^{2}\)
2 \(m, \dfrac{1}{x^{2}}\)
3 \(m, \dfrac{1}{x}\)
4 \(m, x\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366137 If a street light of mass \(M\) is suspended from the end of a uniform rod of length \(l\) in different possible patterns as shown in figure, then:
supporting img

1 Pattern \(A\) is more stable
2 Pattern \(B\) is more stable
3 Pattern \(C\) is more stable
4 All will have same stableness
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366138 Two rods each of mass \({m=4 {~kg}}\) and length \({l=1 {~m}}\) are in equilibrium being smoothly hinged at \({P}\). The tension in the connecting string as shown in figure is
supporting img

1 \(10\,N\)
2 \(30\,N\)
3 \(25\,N\)
4 \(40\,N\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366139 A uniform cube of mass \(M\) and side \(a\) is placed on a frictionless horizontal surface. A vertical force \(F\) is applied to edge as shown in figure. If \(F=\dfrac{M g}{4}\) then find the distance of normal force line from point \(O\).
supporting img

1 \(\dfrac{a}{2}\)
2 \(a\)
3 \(\dfrac{a}{3}\)
4 \(\dfrac{a}{4}\)
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366136 A uniform \(\operatorname{rod} A B\) is suspended from a point \(X\), at a variable distance \(x\) from \(\mathrm{A}\), as shown. To make the rod horizontal, a mass \(m\) is suspended from its end A. A set of \((m, x)\) values is recorded. The appropriate variables that give a straight line, when plotted, are:
supporting img

1 \(m, x^{2}\)
2 \(m, \dfrac{1}{x^{2}}\)
3 \(m, \dfrac{1}{x}\)
4 \(m, x\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366137 If a street light of mass \(M\) is suspended from the end of a uniform rod of length \(l\) in different possible patterns as shown in figure, then:
supporting img

1 Pattern \(A\) is more stable
2 Pattern \(B\) is more stable
3 Pattern \(C\) is more stable
4 All will have same stableness
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366138 Two rods each of mass \({m=4 {~kg}}\) and length \({l=1 {~m}}\) are in equilibrium being smoothly hinged at \({P}\). The tension in the connecting string as shown in figure is
supporting img

1 \(10\,N\)
2 \(30\,N\)
3 \(25\,N\)
4 \(40\,N\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366139 A uniform cube of mass \(M\) and side \(a\) is placed on a frictionless horizontal surface. A vertical force \(F\) is applied to edge as shown in figure. If \(F=\dfrac{M g}{4}\) then find the distance of normal force line from point \(O\).
supporting img

1 \(\dfrac{a}{2}\)
2 \(a\)
3 \(\dfrac{a}{3}\)
4 \(\dfrac{a}{4}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366136 A uniform \(\operatorname{rod} A B\) is suspended from a point \(X\), at a variable distance \(x\) from \(\mathrm{A}\), as shown. To make the rod horizontal, a mass \(m\) is suspended from its end A. A set of \((m, x)\) values is recorded. The appropriate variables that give a straight line, when plotted, are:
supporting img

1 \(m, x^{2}\)
2 \(m, \dfrac{1}{x^{2}}\)
3 \(m, \dfrac{1}{x}\)
4 \(m, x\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366137 If a street light of mass \(M\) is suspended from the end of a uniform rod of length \(l\) in different possible patterns as shown in figure, then:
supporting img

1 Pattern \(A\) is more stable
2 Pattern \(B\) is more stable
3 Pattern \(C\) is more stable
4 All will have same stableness
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366138 Two rods each of mass \({m=4 {~kg}}\) and length \({l=1 {~m}}\) are in equilibrium being smoothly hinged at \({P}\). The tension in the connecting string as shown in figure is
supporting img

1 \(10\,N\)
2 \(30\,N\)
3 \(25\,N\)
4 \(40\,N\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366139 A uniform cube of mass \(M\) and side \(a\) is placed on a frictionless horizontal surface. A vertical force \(F\) is applied to edge as shown in figure. If \(F=\dfrac{M g}{4}\) then find the distance of normal force line from point \(O\).
supporting img

1 \(\dfrac{a}{2}\)
2 \(a\)
3 \(\dfrac{a}{3}\)
4 \(\dfrac{a}{4}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366136 A uniform \(\operatorname{rod} A B\) is suspended from a point \(X\), at a variable distance \(x\) from \(\mathrm{A}\), as shown. To make the rod horizontal, a mass \(m\) is suspended from its end A. A set of \((m, x)\) values is recorded. The appropriate variables that give a straight line, when plotted, are:
supporting img

1 \(m, x^{2}\)
2 \(m, \dfrac{1}{x^{2}}\)
3 \(m, \dfrac{1}{x}\)
4 \(m, x\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366137 If a street light of mass \(M\) is suspended from the end of a uniform rod of length \(l\) in different possible patterns as shown in figure, then:
supporting img

1 Pattern \(A\) is more stable
2 Pattern \(B\) is more stable
3 Pattern \(C\) is more stable
4 All will have same stableness
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366138 Two rods each of mass \({m=4 {~kg}}\) and length \({l=1 {~m}}\) are in equilibrium being smoothly hinged at \({P}\). The tension in the connecting string as shown in figure is
supporting img

1 \(10\,N\)
2 \(30\,N\)
3 \(25\,N\)
4 \(40\,N\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366139 A uniform cube of mass \(M\) and side \(a\) is placed on a frictionless horizontal surface. A vertical force \(F\) is applied to edge as shown in figure. If \(F=\dfrac{M g}{4}\) then find the distance of normal force line from point \(O\).
supporting img

1 \(\dfrac{a}{2}\)
2 \(a\)
3 \(\dfrac{a}{3}\)
4 \(\dfrac{a}{4}\)