Kinematics of Circular Motion
PHXI04:MOTION IN A PLANE

361857 As shown in the figure, a particle is moving with constant speed \(\pi \,m{\rm{/}}s\). Considering its motion from \(A\) to \(B\), the magnitude of the average velocity is
supporting img

1 \(\pi \,m{\rm{/}}s\)
2 \(\sqrt 3 \;m{\rm{/}}s\)
3 \(1.5\,\sqrt 3 \;m{\rm{/}}s\)
4 \(2\sqrt 3 \;m{\rm{/}}s\)
PHXI04:MOTION IN A PLANE

361858 Two bodies of masses \({A=10 {~kg}}\) and \({B=5 {~kg}}\) are moving on concentric orbits of radii \({R}\) and \({r}\) such that their period of revolution are same. The ratio of their centripetal acceleration is

1 \({\dfrac{R}{r}}\)
2 \({\dfrac{r}{R}}\)
3 \({\dfrac{R^{2}}{r^{2}}}\)
4 \({\dfrac{r^{2}}{R^{2}}}\)
PHXI04:MOTION IN A PLANE

361859 A hollow vertical drum of radius r and height \(H\) has a small particle in contact with smooth inner surface of the upper rim at point \(P\). The particle is given a horizontal speed u tangetial to the rim. It leaves the lower rim at \(Q\) vertically below \(P\). The number of revolutions made by the particle is
supporting img

1 \(\frac{{2\pi r}}{H}\)
2 \(\frac{{2\pi r}}{{\sqrt {2H/g} }}\)
3 \(\frac{{2\pi r}}{{u\sqrt {2H/g} }}\)
4 \(\frac{u}{{2\pi r}}\sqrt {2H/g} \)
PHXI04:MOTION IN A PLANE

361860 A car is moving with high velocity. When it takes a turn, a force acts on it outwardly because of

1 Centripetal force
2 Centrifugal force
3 Gravitational force
4 All the above
PHXI04:MOTION IN A PLANE

361857 As shown in the figure, a particle is moving with constant speed \(\pi \,m{\rm{/}}s\). Considering its motion from \(A\) to \(B\), the magnitude of the average velocity is
supporting img

1 \(\pi \,m{\rm{/}}s\)
2 \(\sqrt 3 \;m{\rm{/}}s\)
3 \(1.5\,\sqrt 3 \;m{\rm{/}}s\)
4 \(2\sqrt 3 \;m{\rm{/}}s\)
PHXI04:MOTION IN A PLANE

361858 Two bodies of masses \({A=10 {~kg}}\) and \({B=5 {~kg}}\) are moving on concentric orbits of radii \({R}\) and \({r}\) such that their period of revolution are same. The ratio of their centripetal acceleration is

1 \({\dfrac{R}{r}}\)
2 \({\dfrac{r}{R}}\)
3 \({\dfrac{R^{2}}{r^{2}}}\)
4 \({\dfrac{r^{2}}{R^{2}}}\)
PHXI04:MOTION IN A PLANE

361859 A hollow vertical drum of radius r and height \(H\) has a small particle in contact with smooth inner surface of the upper rim at point \(P\). The particle is given a horizontal speed u tangetial to the rim. It leaves the lower rim at \(Q\) vertically below \(P\). The number of revolutions made by the particle is
supporting img

1 \(\frac{{2\pi r}}{H}\)
2 \(\frac{{2\pi r}}{{\sqrt {2H/g} }}\)
3 \(\frac{{2\pi r}}{{u\sqrt {2H/g} }}\)
4 \(\frac{u}{{2\pi r}}\sqrt {2H/g} \)
PHXI04:MOTION IN A PLANE

361860 A car is moving with high velocity. When it takes a turn, a force acts on it outwardly because of

1 Centripetal force
2 Centrifugal force
3 Gravitational force
4 All the above
PHXI04:MOTION IN A PLANE

361857 As shown in the figure, a particle is moving with constant speed \(\pi \,m{\rm{/}}s\). Considering its motion from \(A\) to \(B\), the magnitude of the average velocity is
supporting img

1 \(\pi \,m{\rm{/}}s\)
2 \(\sqrt 3 \;m{\rm{/}}s\)
3 \(1.5\,\sqrt 3 \;m{\rm{/}}s\)
4 \(2\sqrt 3 \;m{\rm{/}}s\)
PHXI04:MOTION IN A PLANE

361858 Two bodies of masses \({A=10 {~kg}}\) and \({B=5 {~kg}}\) are moving on concentric orbits of radii \({R}\) and \({r}\) such that their period of revolution are same. The ratio of their centripetal acceleration is

1 \({\dfrac{R}{r}}\)
2 \({\dfrac{r}{R}}\)
3 \({\dfrac{R^{2}}{r^{2}}}\)
4 \({\dfrac{r^{2}}{R^{2}}}\)
PHXI04:MOTION IN A PLANE

361859 A hollow vertical drum of radius r and height \(H\) has a small particle in contact with smooth inner surface of the upper rim at point \(P\). The particle is given a horizontal speed u tangetial to the rim. It leaves the lower rim at \(Q\) vertically below \(P\). The number of revolutions made by the particle is
supporting img

1 \(\frac{{2\pi r}}{H}\)
2 \(\frac{{2\pi r}}{{\sqrt {2H/g} }}\)
3 \(\frac{{2\pi r}}{{u\sqrt {2H/g} }}\)
4 \(\frac{u}{{2\pi r}}\sqrt {2H/g} \)
PHXI04:MOTION IN A PLANE

361860 A car is moving with high velocity. When it takes a turn, a force acts on it outwardly because of

1 Centripetal force
2 Centrifugal force
3 Gravitational force
4 All the above
PHXI04:MOTION IN A PLANE

361857 As shown in the figure, a particle is moving with constant speed \(\pi \,m{\rm{/}}s\). Considering its motion from \(A\) to \(B\), the magnitude of the average velocity is
supporting img

1 \(\pi \,m{\rm{/}}s\)
2 \(\sqrt 3 \;m{\rm{/}}s\)
3 \(1.5\,\sqrt 3 \;m{\rm{/}}s\)
4 \(2\sqrt 3 \;m{\rm{/}}s\)
PHXI04:MOTION IN A PLANE

361858 Two bodies of masses \({A=10 {~kg}}\) and \({B=5 {~kg}}\) are moving on concentric orbits of radii \({R}\) and \({r}\) such that their period of revolution are same. The ratio of their centripetal acceleration is

1 \({\dfrac{R}{r}}\)
2 \({\dfrac{r}{R}}\)
3 \({\dfrac{R^{2}}{r^{2}}}\)
4 \({\dfrac{r^{2}}{R^{2}}}\)
PHXI04:MOTION IN A PLANE

361859 A hollow vertical drum of radius r and height \(H\) has a small particle in contact with smooth inner surface of the upper rim at point \(P\). The particle is given a horizontal speed u tangetial to the rim. It leaves the lower rim at \(Q\) vertically below \(P\). The number of revolutions made by the particle is
supporting img

1 \(\frac{{2\pi r}}{H}\)
2 \(\frac{{2\pi r}}{{\sqrt {2H/g} }}\)
3 \(\frac{{2\pi r}}{{u\sqrt {2H/g} }}\)
4 \(\frac{u}{{2\pi r}}\sqrt {2H/g} \)
PHXI04:MOTION IN A PLANE

361860 A car is moving with high velocity. When it takes a turn, a force acts on it outwardly because of

1 Centripetal force
2 Centrifugal force
3 Gravitational force
4 All the above