Kinematics of Circular Motion
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI04:MOTION IN A PLANE

361883 Two racing cars of masses \({m_1}\) and \({m_2}\) are moving in circles of radii \({r_1}\) and \({r_2}\) respectively. Their speeds are such that each makes a complete circle in the same duration of time \(t\). The ratio of the angular speed of the first to the second car is

1 \({r_1}:\,{r_2}\,\)
2 \({m_1}:\,{m_2}\)
3 \({m_1}{r_1}:\,{m_2}{r_2}\,\)
4 \(1:1\)
PHXI04:MOTION IN A PLANE

361884 A pont \(P\) moves in counterclockwise direction on a circular path as shown in figure. The movement of \(P\) is such that it sweeps out a length \(S=t^{3}+8\), where \(S\) in metre and \(t\) is in seconds. The radius of the path is \(60 \mathrm{~m}\). The acceleration of \(P\) when \(t=4 s\) is near by:
supporting img

1 \(45.28\;m{\rm{/}}{s^2}\)
2 \(60\;m{\rm{/}}{s^2}\)
3 \(50.2\;m{\rm{/}}{s^2}\)
4 \(30\;m{\rm{/}}{s^2}\)
PHXI04:MOTION IN A PLANE

361885 A particle moves in a circle of radius 4 \(m\) clockwise at constant speed of \(2\,m\,{s^{ - 1}}.\) If \(\widehat x\) and \(\widehat y\) are unit vectors along \(x\) and \(y\) axis, respectively, the acceleration of the particle at the instant half way between \(PQ\) is given by
supporting img

1 \( - 4(\widehat x - \widehat y)\)
2 \(4(\widehat x + \widehat y)\)
3 \(\frac{{ - (\widehat x + \widehat y)}}{{\sqrt 2 }}\)
4 \(\frac{{(\widehat x - \widehat y)}}{4}\)
PHXI04:MOTION IN A PLANE

361886 A ball moves along an uneven horizontal road with fixed speed at all points on the road. The normal reaction of the road on the body at two different points \(A\) and \(B\) is
supporting img

1 Maximum at \(A\)
2 Maximum at \(B\)
3 Minimum at \(B\)
4 Same at \(A\) and \(B\)
PHXI04:MOTION IN A PLANE

361883 Two racing cars of masses \({m_1}\) and \({m_2}\) are moving in circles of radii \({r_1}\) and \({r_2}\) respectively. Their speeds are such that each makes a complete circle in the same duration of time \(t\). The ratio of the angular speed of the first to the second car is

1 \({r_1}:\,{r_2}\,\)
2 \({m_1}:\,{m_2}\)
3 \({m_1}{r_1}:\,{m_2}{r_2}\,\)
4 \(1:1\)
PHXI04:MOTION IN A PLANE

361884 A pont \(P\) moves in counterclockwise direction on a circular path as shown in figure. The movement of \(P\) is such that it sweeps out a length \(S=t^{3}+8\), where \(S\) in metre and \(t\) is in seconds. The radius of the path is \(60 \mathrm{~m}\). The acceleration of \(P\) when \(t=4 s\) is near by:
supporting img

1 \(45.28\;m{\rm{/}}{s^2}\)
2 \(60\;m{\rm{/}}{s^2}\)
3 \(50.2\;m{\rm{/}}{s^2}\)
4 \(30\;m{\rm{/}}{s^2}\)
PHXI04:MOTION IN A PLANE

361885 A particle moves in a circle of radius 4 \(m\) clockwise at constant speed of \(2\,m\,{s^{ - 1}}.\) If \(\widehat x\) and \(\widehat y\) are unit vectors along \(x\) and \(y\) axis, respectively, the acceleration of the particle at the instant half way between \(PQ\) is given by
supporting img

1 \( - 4(\widehat x - \widehat y)\)
2 \(4(\widehat x + \widehat y)\)
3 \(\frac{{ - (\widehat x + \widehat y)}}{{\sqrt 2 }}\)
4 \(\frac{{(\widehat x - \widehat y)}}{4}\)
PHXI04:MOTION IN A PLANE

361886 A ball moves along an uneven horizontal road with fixed speed at all points on the road. The normal reaction of the road on the body at two different points \(A\) and \(B\) is
supporting img

1 Maximum at \(A\)
2 Maximum at \(B\)
3 Minimum at \(B\)
4 Same at \(A\) and \(B\)
PHXI04:MOTION IN A PLANE

361883 Two racing cars of masses \({m_1}\) and \({m_2}\) are moving in circles of radii \({r_1}\) and \({r_2}\) respectively. Their speeds are such that each makes a complete circle in the same duration of time \(t\). The ratio of the angular speed of the first to the second car is

1 \({r_1}:\,{r_2}\,\)
2 \({m_1}:\,{m_2}\)
3 \({m_1}{r_1}:\,{m_2}{r_2}\,\)
4 \(1:1\)
PHXI04:MOTION IN A PLANE

361884 A pont \(P\) moves in counterclockwise direction on a circular path as shown in figure. The movement of \(P\) is such that it sweeps out a length \(S=t^{3}+8\), where \(S\) in metre and \(t\) is in seconds. The radius of the path is \(60 \mathrm{~m}\). The acceleration of \(P\) when \(t=4 s\) is near by:
supporting img

1 \(45.28\;m{\rm{/}}{s^2}\)
2 \(60\;m{\rm{/}}{s^2}\)
3 \(50.2\;m{\rm{/}}{s^2}\)
4 \(30\;m{\rm{/}}{s^2}\)
PHXI04:MOTION IN A PLANE

361885 A particle moves in a circle of radius 4 \(m\) clockwise at constant speed of \(2\,m\,{s^{ - 1}}.\) If \(\widehat x\) and \(\widehat y\) are unit vectors along \(x\) and \(y\) axis, respectively, the acceleration of the particle at the instant half way between \(PQ\) is given by
supporting img

1 \( - 4(\widehat x - \widehat y)\)
2 \(4(\widehat x + \widehat y)\)
3 \(\frac{{ - (\widehat x + \widehat y)}}{{\sqrt 2 }}\)
4 \(\frac{{(\widehat x - \widehat y)}}{4}\)
PHXI04:MOTION IN A PLANE

361886 A ball moves along an uneven horizontal road with fixed speed at all points on the road. The normal reaction of the road on the body at two different points \(A\) and \(B\) is
supporting img

1 Maximum at \(A\)
2 Maximum at \(B\)
3 Minimum at \(B\)
4 Same at \(A\) and \(B\)
PHXI04:MOTION IN A PLANE

361883 Two racing cars of masses \({m_1}\) and \({m_2}\) are moving in circles of radii \({r_1}\) and \({r_2}\) respectively. Their speeds are such that each makes a complete circle in the same duration of time \(t\). The ratio of the angular speed of the first to the second car is

1 \({r_1}:\,{r_2}\,\)
2 \({m_1}:\,{m_2}\)
3 \({m_1}{r_1}:\,{m_2}{r_2}\,\)
4 \(1:1\)
PHXI04:MOTION IN A PLANE

361884 A pont \(P\) moves in counterclockwise direction on a circular path as shown in figure. The movement of \(P\) is such that it sweeps out a length \(S=t^{3}+8\), where \(S\) in metre and \(t\) is in seconds. The radius of the path is \(60 \mathrm{~m}\). The acceleration of \(P\) when \(t=4 s\) is near by:
supporting img

1 \(45.28\;m{\rm{/}}{s^2}\)
2 \(60\;m{\rm{/}}{s^2}\)
3 \(50.2\;m{\rm{/}}{s^2}\)
4 \(30\;m{\rm{/}}{s^2}\)
PHXI04:MOTION IN A PLANE

361885 A particle moves in a circle of radius 4 \(m\) clockwise at constant speed of \(2\,m\,{s^{ - 1}}.\) If \(\widehat x\) and \(\widehat y\) are unit vectors along \(x\) and \(y\) axis, respectively, the acceleration of the particle at the instant half way between \(PQ\) is given by
supporting img

1 \( - 4(\widehat x - \widehat y)\)
2 \(4(\widehat x + \widehat y)\)
3 \(\frac{{ - (\widehat x + \widehat y)}}{{\sqrt 2 }}\)
4 \(\frac{{(\widehat x - \widehat y)}}{4}\)
PHXI04:MOTION IN A PLANE

361886 A ball moves along an uneven horizontal road with fixed speed at all points on the road. The normal reaction of the road on the body at two different points \(A\) and \(B\) is
supporting img

1 Maximum at \(A\)
2 Maximum at \(B\)
3 Minimum at \(B\)
4 Same at \(A\) and \(B\)