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

366217 Figure shows a uniform block of mass \({m=\sqrt{\dfrac{3}{13}} {~kg}}\) having square base and equilateral triangular cross section placed at the edge of the floor of a truck which is under constant acceleration \({a=\dfrac{g \sqrt{3}}{4} {~m} / {s}^{2}}\) to the right. A horizontal force on the apex of the triangle \({F}\) is just enough to just tilt the block. Find the force on the block at point \({A}\) where the block is in contact with the step edge when \({F}\) is applied. (Take \({g=10 {~m} / {s}^{2}}\))
supporting img

1 \(5\,N\)
2 \(2\,N\)
3 \(8\,N\)
4 \(3\,N\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366218 A cube of side \(a\) is placed on an inclined plane of inclination \(\theta\). What is the maximum value of \(\theta\) for which the cube will not topple?
supporting img

1 \(60^{\circ}\)
2 \(45^{\circ}\)
3 \(15^{\circ}\)
4 \(30^{\circ}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366219 Calculate the force \(F\) that is applied horizontally at the axle of the wheel which is necessary to raise the wheel over the obstacle of height \(0.4\,\,m\). Radius of wheel is \(1\,\;m\) and mass \( = 10\;kg\). \(F\) is

1 \(167\;N\)
2 \(133.3\;N\)
3 \(100\;\,N\)
4 \(66\,\;N\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366220 A cube of side \(a\) and mass \(m\) is to be tilted at point \(A\) by applying a force \(F\) as shown in figure. The minimum force required is
supporting img

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

366217 Figure shows a uniform block of mass \({m=\sqrt{\dfrac{3}{13}} {~kg}}\) having square base and equilateral triangular cross section placed at the edge of the floor of a truck which is under constant acceleration \({a=\dfrac{g \sqrt{3}}{4} {~m} / {s}^{2}}\) to the right. A horizontal force on the apex of the triangle \({F}\) is just enough to just tilt the block. Find the force on the block at point \({A}\) where the block is in contact with the step edge when \({F}\) is applied. (Take \({g=10 {~m} / {s}^{2}}\))
supporting img

1 \(5\,N\)
2 \(2\,N\)
3 \(8\,N\)
4 \(3\,N\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366218 A cube of side \(a\) is placed on an inclined plane of inclination \(\theta\). What is the maximum value of \(\theta\) for which the cube will not topple?
supporting img

1 \(60^{\circ}\)
2 \(45^{\circ}\)
3 \(15^{\circ}\)
4 \(30^{\circ}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366219 Calculate the force \(F\) that is applied horizontally at the axle of the wheel which is necessary to raise the wheel over the obstacle of height \(0.4\,\,m\). Radius of wheel is \(1\,\;m\) and mass \( = 10\;kg\). \(F\) is

1 \(167\;N\)
2 \(133.3\;N\)
3 \(100\;\,N\)
4 \(66\,\;N\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366220 A cube of side \(a\) and mass \(m\) is to be tilted at point \(A\) by applying a force \(F\) as shown in figure. The minimum force required is
supporting img

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

366217 Figure shows a uniform block of mass \({m=\sqrt{\dfrac{3}{13}} {~kg}}\) having square base and equilateral triangular cross section placed at the edge of the floor of a truck which is under constant acceleration \({a=\dfrac{g \sqrt{3}}{4} {~m} / {s}^{2}}\) to the right. A horizontal force on the apex of the triangle \({F}\) is just enough to just tilt the block. Find the force on the block at point \({A}\) where the block is in contact with the step edge when \({F}\) is applied. (Take \({g=10 {~m} / {s}^{2}}\))
supporting img

1 \(5\,N\)
2 \(2\,N\)
3 \(8\,N\)
4 \(3\,N\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366218 A cube of side \(a\) is placed on an inclined plane of inclination \(\theta\). What is the maximum value of \(\theta\) for which the cube will not topple?
supporting img

1 \(60^{\circ}\)
2 \(45^{\circ}\)
3 \(15^{\circ}\)
4 \(30^{\circ}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366219 Calculate the force \(F\) that is applied horizontally at the axle of the wheel which is necessary to raise the wheel over the obstacle of height \(0.4\,\,m\). Radius of wheel is \(1\,\;m\) and mass \( = 10\;kg\). \(F\) is

1 \(167\;N\)
2 \(133.3\;N\)
3 \(100\;\,N\)
4 \(66\,\;N\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366220 A cube of side \(a\) and mass \(m\) is to be tilted at point \(A\) by applying a force \(F\) as shown in figure. The minimum force required is
supporting img

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

366217 Figure shows a uniform block of mass \({m=\sqrt{\dfrac{3}{13}} {~kg}}\) having square base and equilateral triangular cross section placed at the edge of the floor of a truck which is under constant acceleration \({a=\dfrac{g \sqrt{3}}{4} {~m} / {s}^{2}}\) to the right. A horizontal force on the apex of the triangle \({F}\) is just enough to just tilt the block. Find the force on the block at point \({A}\) where the block is in contact with the step edge when \({F}\) is applied. (Take \({g=10 {~m} / {s}^{2}}\))
supporting img

1 \(5\,N\)
2 \(2\,N\)
3 \(8\,N\)
4 \(3\,N\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366218 A cube of side \(a\) is placed on an inclined plane of inclination \(\theta\). What is the maximum value of \(\theta\) for which the cube will not topple?
supporting img

1 \(60^{\circ}\)
2 \(45^{\circ}\)
3 \(15^{\circ}\)
4 \(30^{\circ}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366219 Calculate the force \(F\) that is applied horizontally at the axle of the wheel which is necessary to raise the wheel over the obstacle of height \(0.4\,\,m\). Radius of wheel is \(1\,\;m\) and mass \( = 10\;kg\). \(F\) is

1 \(167\;N\)
2 \(133.3\;N\)
3 \(100\;\,N\)
4 \(66\,\;N\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366220 A cube of side \(a\) and mass \(m\) is to be tilted at point \(A\) by applying a force \(F\) as shown in figure. The minimum force required is
supporting img

1 \(\dfrac{2}{3} m g\)
2 \(m g\)
3 \(\dfrac{3}{2} m g\)
4 \(\dfrac{3}{4} m g\)