Plane Motion of a Rigid Body
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365989 A uniform disc of mass \(M\) and radius \(R\), is resting on a table on its rim. The coeeficient of friction between disc and table is \(\mu\). Now the disc is pulled with a force \(F\) as shown in the figure. What is the maximum value of \(F\) for which the disc rolls without slipping?
supporting img

1 \(\mu M g\)
2 \(2 \mu M g\)
3 \(3\mu \,Mg\)
4 \(4\mu \,Mg\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365990 A uniform solid sphere of mass \(m\) is being pulled on a horizontal surface with force \(F\) parallel to the surface and applied at its topmost point. If the acceleration of the sphere is \(a\) & it is in pure rolling on the surface, the value of \(F\) is

1 \(m a\)
2 \(\dfrac{3}{2} m a\)
3 \(\dfrac{7}{10} \mathrm{ma}\)
4 \(\dfrac{10}{7} m a\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365991 A rolling body is rolling without slipping on a moving plank. Relation of \(v\) and \(v_{1}\) is ...A... Here, \(A\) referes to
supporting img

1 \(v_{1}-V=R \omega\)
2 \(v_{1}+V=R \omega\)
3 \(v_{1}+V=-R \omega\)
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365992 A wheel of a bullock cart is rolling on a level road as shown in the figure below. If its linear speed is \({v}\) in the direction shown, which one of the following options is correct ( \({P}\) and \({Q}\) are any highest and lowest points on the wheel, respectively)?
supporting img

1 Point \({P}\) moves slower than point \({Q}\)
2 Point \({P}\) moves faster than point \({Q}\)
3 Both the points \({P}\) and \({Q}\) move with equal speed
4 Point \({P}\) has zero speed
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365993 A ring rolls down two different inclined planes of same height, but of different inclinations. In both cases

1 Speed will be different, but time of descent will be same
2 Speed will be same, but time of descent will be different
3 Speed and time of descent both are different
4 Speed and time of descent will be same
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365989 A uniform disc of mass \(M\) and radius \(R\), is resting on a table on its rim. The coeeficient of friction between disc and table is \(\mu\). Now the disc is pulled with a force \(F\) as shown in the figure. What is the maximum value of \(F\) for which the disc rolls without slipping?
supporting img

1 \(\mu M g\)
2 \(2 \mu M g\)
3 \(3\mu \,Mg\)
4 \(4\mu \,Mg\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365990 A uniform solid sphere of mass \(m\) is being pulled on a horizontal surface with force \(F\) parallel to the surface and applied at its topmost point. If the acceleration of the sphere is \(a\) & it is in pure rolling on the surface, the value of \(F\) is

1 \(m a\)
2 \(\dfrac{3}{2} m a\)
3 \(\dfrac{7}{10} \mathrm{ma}\)
4 \(\dfrac{10}{7} m a\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365991 A rolling body is rolling without slipping on a moving plank. Relation of \(v\) and \(v_{1}\) is ...A... Here, \(A\) referes to
supporting img

1 \(v_{1}-V=R \omega\)
2 \(v_{1}+V=R \omega\)
3 \(v_{1}+V=-R \omega\)
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365992 A wheel of a bullock cart is rolling on a level road as shown in the figure below. If its linear speed is \({v}\) in the direction shown, which one of the following options is correct ( \({P}\) and \({Q}\) are any highest and lowest points on the wheel, respectively)?
supporting img

1 Point \({P}\) moves slower than point \({Q}\)
2 Point \({P}\) moves faster than point \({Q}\)
3 Both the points \({P}\) and \({Q}\) move with equal speed
4 Point \({P}\) has zero speed
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365993 A ring rolls down two different inclined planes of same height, but of different inclinations. In both cases

1 Speed will be different, but time of descent will be same
2 Speed will be same, but time of descent will be different
3 Speed and time of descent both are different
4 Speed and time of descent will be same
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365989 A uniform disc of mass \(M\) and radius \(R\), is resting on a table on its rim. The coeeficient of friction between disc and table is \(\mu\). Now the disc is pulled with a force \(F\) as shown in the figure. What is the maximum value of \(F\) for which the disc rolls without slipping?
supporting img

1 \(\mu M g\)
2 \(2 \mu M g\)
3 \(3\mu \,Mg\)
4 \(4\mu \,Mg\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365990 A uniform solid sphere of mass \(m\) is being pulled on a horizontal surface with force \(F\) parallel to the surface and applied at its topmost point. If the acceleration of the sphere is \(a\) & it is in pure rolling on the surface, the value of \(F\) is

1 \(m a\)
2 \(\dfrac{3}{2} m a\)
3 \(\dfrac{7}{10} \mathrm{ma}\)
4 \(\dfrac{10}{7} m a\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365991 A rolling body is rolling without slipping on a moving plank. Relation of \(v\) and \(v_{1}\) is ...A... Here, \(A\) referes to
supporting img

1 \(v_{1}-V=R \omega\)
2 \(v_{1}+V=R \omega\)
3 \(v_{1}+V=-R \omega\)
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365992 A wheel of a bullock cart is rolling on a level road as shown in the figure below. If its linear speed is \({v}\) in the direction shown, which one of the following options is correct ( \({P}\) and \({Q}\) are any highest and lowest points on the wheel, respectively)?
supporting img

1 Point \({P}\) moves slower than point \({Q}\)
2 Point \({P}\) moves faster than point \({Q}\)
3 Both the points \({P}\) and \({Q}\) move with equal speed
4 Point \({P}\) has zero speed
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365993 A ring rolls down two different inclined planes of same height, but of different inclinations. In both cases

1 Speed will be different, but time of descent will be same
2 Speed will be same, but time of descent will be different
3 Speed and time of descent both are different
4 Speed and time of descent will be same
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365989 A uniform disc of mass \(M\) and radius \(R\), is resting on a table on its rim. The coeeficient of friction between disc and table is \(\mu\). Now the disc is pulled with a force \(F\) as shown in the figure. What is the maximum value of \(F\) for which the disc rolls without slipping?
supporting img

1 \(\mu M g\)
2 \(2 \mu M g\)
3 \(3\mu \,Mg\)
4 \(4\mu \,Mg\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365990 A uniform solid sphere of mass \(m\) is being pulled on a horizontal surface with force \(F\) parallel to the surface and applied at its topmost point. If the acceleration of the sphere is \(a\) & it is in pure rolling on the surface, the value of \(F\) is

1 \(m a\)
2 \(\dfrac{3}{2} m a\)
3 \(\dfrac{7}{10} \mathrm{ma}\)
4 \(\dfrac{10}{7} m a\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365991 A rolling body is rolling without slipping on a moving plank. Relation of \(v\) and \(v_{1}\) is ...A... Here, \(A\) referes to
supporting img

1 \(v_{1}-V=R \omega\)
2 \(v_{1}+V=R \omega\)
3 \(v_{1}+V=-R \omega\)
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365992 A wheel of a bullock cart is rolling on a level road as shown in the figure below. If its linear speed is \({v}\) in the direction shown, which one of the following options is correct ( \({P}\) and \({Q}\) are any highest and lowest points on the wheel, respectively)?
supporting img

1 Point \({P}\) moves slower than point \({Q}\)
2 Point \({P}\) moves faster than point \({Q}\)
3 Both the points \({P}\) and \({Q}\) move with equal speed
4 Point \({P}\) has zero speed
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365993 A ring rolls down two different inclined planes of same height, but of different inclinations. In both cases

1 Speed will be different, but time of descent will be same
2 Speed will be same, but time of descent will be different
3 Speed and time of descent both are different
4 Speed and time of descent will be same
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365989 A uniform disc of mass \(M\) and radius \(R\), is resting on a table on its rim. The coeeficient of friction between disc and table is \(\mu\). Now the disc is pulled with a force \(F\) as shown in the figure. What is the maximum value of \(F\) for which the disc rolls without slipping?
supporting img

1 \(\mu M g\)
2 \(2 \mu M g\)
3 \(3\mu \,Mg\)
4 \(4\mu \,Mg\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365990 A uniform solid sphere of mass \(m\) is being pulled on a horizontal surface with force \(F\) parallel to the surface and applied at its topmost point. If the acceleration of the sphere is \(a\) & it is in pure rolling on the surface, the value of \(F\) is

1 \(m a\)
2 \(\dfrac{3}{2} m a\)
3 \(\dfrac{7}{10} \mathrm{ma}\)
4 \(\dfrac{10}{7} m a\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365991 A rolling body is rolling without slipping on a moving plank. Relation of \(v\) and \(v_{1}\) is ...A... Here, \(A\) referes to
supporting img

1 \(v_{1}-V=R \omega\)
2 \(v_{1}+V=R \omega\)
3 \(v_{1}+V=-R \omega\)
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365992 A wheel of a bullock cart is rolling on a level road as shown in the figure below. If its linear speed is \({v}\) in the direction shown, which one of the following options is correct ( \({P}\) and \({Q}\) are any highest and lowest points on the wheel, respectively)?
supporting img

1 Point \({P}\) moves slower than point \({Q}\)
2 Point \({P}\) moves faster than point \({Q}\)
3 Both the points \({P}\) and \({Q}\) move with equal speed
4 Point \({P}\) has zero speed
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365993 A ring rolls down two different inclined planes of same height, but of different inclinations. In both cases

1 Speed will be different, but time of descent will be same
2 Speed will be same, but time of descent will be different
3 Speed and time of descent both are different
4 Speed and time of descent will be same