Work, Energy & Power in Case of Rotation of a Rigid Body about Fixed Axis
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366251 An electric motor rotates a wheel at a constant angular velocity \(\omega\) while opposing torque is \(\tau\). The power of that electric motor is

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

366252 Two constant parallel forces act on a wheel, as shown in the figure. If the wheel rotates, then the work done per rotation will be
supporting img

1 \({0.05 J}\)
2 \({0.015 J}\)
3 \({0.031 J}\)
4 \({0.062 J}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366253 A ball of radius \(r\) lies at the bottom of a fixed vertical ring of radius \(\mathrm{R}\), find the minimum velocity to be given so that the ball completes the loop rolling without slipping

1 \(\sqrt{5 g(R-r)}\)
2 \(\sqrt{\dfrac{27}{10} g(R-r)}\)
3 \(\sqrt{\dfrac{27}{5} g(R-r)}\)
4 \(\sqrt{\dfrac{27}{7} g(R-r)}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366254 A uniform solid disc of radius \(R\) and mass \(\mathrm{M}\) is free to rotate on a frictionless pivot through a point on its rim. If the disc is released from rest in the position shown in the figure the speed of lowest point on the disc in the dashed position is
supporting img

1 \(3 \sqrt{\dfrac{R g}{2}}\)
2 \(2 \sqrt{\dfrac{R g}{3}}\)
3 \(6 \sqrt{\dfrac{R g}{3}}\)
4 \(4 \sqrt{\dfrac{R g}{3}}\)
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366251 An electric motor rotates a wheel at a constant angular velocity \(\omega\) while opposing torque is \(\tau\). The power of that electric motor is

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

366252 Two constant parallel forces act on a wheel, as shown in the figure. If the wheel rotates, then the work done per rotation will be
supporting img

1 \({0.05 J}\)
2 \({0.015 J}\)
3 \({0.031 J}\)
4 \({0.062 J}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366253 A ball of radius \(r\) lies at the bottom of a fixed vertical ring of radius \(\mathrm{R}\), find the minimum velocity to be given so that the ball completes the loop rolling without slipping

1 \(\sqrt{5 g(R-r)}\)
2 \(\sqrt{\dfrac{27}{10} g(R-r)}\)
3 \(\sqrt{\dfrac{27}{5} g(R-r)}\)
4 \(\sqrt{\dfrac{27}{7} g(R-r)}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366254 A uniform solid disc of radius \(R\) and mass \(\mathrm{M}\) is free to rotate on a frictionless pivot through a point on its rim. If the disc is released from rest in the position shown in the figure the speed of lowest point on the disc in the dashed position is
supporting img

1 \(3 \sqrt{\dfrac{R g}{2}}\)
2 \(2 \sqrt{\dfrac{R g}{3}}\)
3 \(6 \sqrt{\dfrac{R g}{3}}\)
4 \(4 \sqrt{\dfrac{R g}{3}}\)
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366251 An electric motor rotates a wheel at a constant angular velocity \(\omega\) while opposing torque is \(\tau\). The power of that electric motor is

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

366252 Two constant parallel forces act on a wheel, as shown in the figure. If the wheel rotates, then the work done per rotation will be
supporting img

1 \({0.05 J}\)
2 \({0.015 J}\)
3 \({0.031 J}\)
4 \({0.062 J}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366253 A ball of radius \(r\) lies at the bottom of a fixed vertical ring of radius \(\mathrm{R}\), find the minimum velocity to be given so that the ball completes the loop rolling without slipping

1 \(\sqrt{5 g(R-r)}\)
2 \(\sqrt{\dfrac{27}{10} g(R-r)}\)
3 \(\sqrt{\dfrac{27}{5} g(R-r)}\)
4 \(\sqrt{\dfrac{27}{7} g(R-r)}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366254 A uniform solid disc of radius \(R\) and mass \(\mathrm{M}\) is free to rotate on a frictionless pivot through a point on its rim. If the disc is released from rest in the position shown in the figure the speed of lowest point on the disc in the dashed position is
supporting img

1 \(3 \sqrt{\dfrac{R g}{2}}\)
2 \(2 \sqrt{\dfrac{R g}{3}}\)
3 \(6 \sqrt{\dfrac{R g}{3}}\)
4 \(4 \sqrt{\dfrac{R g}{3}}\)
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366251 An electric motor rotates a wheel at a constant angular velocity \(\omega\) while opposing torque is \(\tau\). The power of that electric motor is

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

366252 Two constant parallel forces act on a wheel, as shown in the figure. If the wheel rotates, then the work done per rotation will be
supporting img

1 \({0.05 J}\)
2 \({0.015 J}\)
3 \({0.031 J}\)
4 \({0.062 J}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366253 A ball of radius \(r\) lies at the bottom of a fixed vertical ring of radius \(\mathrm{R}\), find the minimum velocity to be given so that the ball completes the loop rolling without slipping

1 \(\sqrt{5 g(R-r)}\)
2 \(\sqrt{\dfrac{27}{10} g(R-r)}\)
3 \(\sqrt{\dfrac{27}{5} g(R-r)}\)
4 \(\sqrt{\dfrac{27}{7} g(R-r)}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366254 A uniform solid disc of radius \(R\) and mass \(\mathrm{M}\) is free to rotate on a frictionless pivot through a point on its rim. If the disc is released from rest in the position shown in the figure the speed of lowest point on the disc in the dashed position is
supporting img

1 \(3 \sqrt{\dfrac{R g}{2}}\)
2 \(2 \sqrt{\dfrac{R g}{3}}\)
3 \(6 \sqrt{\dfrac{R g}{3}}\)
4 \(4 \sqrt{\dfrac{R g}{3}}\)
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