Vertical Circular Motion
PHXI06:WORK ENERGY AND POWER

355723 A ball suspended by a thread swings in a vertical plane so that its magnitude of acceleration in the extreme position and lowest position are equal. The angle \((\theta)\) of thread deflection in the extreme position will be :

1 \(2 \tan ^{-1}\left(\dfrac{1}{2}\right)\)
2 \(\tan ^{-1}(\sqrt{2})\)
3 \(2 \tan ^{-1}\left(\dfrac{1}{\sqrt{5}}\right)\)
4 \(\tan ^{-1}\left(\dfrac{1}{2}\right)\)
PHXI06:WORK ENERGY AND POWER

355724 A heavy particle hanging from a string of length \(l\) is projected horizontally with speed \(\sqrt{g l}\). The speed of the particle at the point where the tension in the string equals weight of the particle is

1 \(\sqrt{g l / 2}\)
2 \(\sqrt{g l / 3}\)
3 \(\sqrt{2 g l}\)
4 \(\sqrt{3 g l}\)
PHXI06:WORK ENERGY AND POWER

355725 A ball whirls around in a vertical circle at the end of a string. The other end of the string is fixed at the centre of circle. Assuming the total energy of the ball-Earth system remains constant. What is the difference of tension in string at bottom and top during circular motion
\[
\left(T_{\text {bottom }}-T_{\text {top }}=\right.\text { ?) }
\]

1 3.5 \(mg\)
2 5 \(mg\)
3 3 \(mg\)
4 6 \(mg\)
PHXI06:WORK ENERGY AND POWER

355726 One end of the string of length \(1.0 \mathrm{~m}\) is tied to a body of mass \(0.5 \mathrm{~kg}\). It is whirled in a vertical circle with angular frequency \(4 \mathrm{rad} / \mathrm{s}\). The tension in the string when the body is at the lower most point of its motion will be equal to (take, \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(3\;N\)
2 \(5\;N\)
3 \(8\;N\)
4 \(13\;N\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI06:WORK ENERGY AND POWER

355723 A ball suspended by a thread swings in a vertical plane so that its magnitude of acceleration in the extreme position and lowest position are equal. The angle \((\theta)\) of thread deflection in the extreme position will be :

1 \(2 \tan ^{-1}\left(\dfrac{1}{2}\right)\)
2 \(\tan ^{-1}(\sqrt{2})\)
3 \(2 \tan ^{-1}\left(\dfrac{1}{\sqrt{5}}\right)\)
4 \(\tan ^{-1}\left(\dfrac{1}{2}\right)\)
PHXI06:WORK ENERGY AND POWER

355724 A heavy particle hanging from a string of length \(l\) is projected horizontally with speed \(\sqrt{g l}\). The speed of the particle at the point where the tension in the string equals weight of the particle is

1 \(\sqrt{g l / 2}\)
2 \(\sqrt{g l / 3}\)
3 \(\sqrt{2 g l}\)
4 \(\sqrt{3 g l}\)
PHXI06:WORK ENERGY AND POWER

355725 A ball whirls around in a vertical circle at the end of a string. The other end of the string is fixed at the centre of circle. Assuming the total energy of the ball-Earth system remains constant. What is the difference of tension in string at bottom and top during circular motion
\[
\left(T_{\text {bottom }}-T_{\text {top }}=\right.\text { ?) }
\]

1 3.5 \(mg\)
2 5 \(mg\)
3 3 \(mg\)
4 6 \(mg\)
PHXI06:WORK ENERGY AND POWER

355726 One end of the string of length \(1.0 \mathrm{~m}\) is tied to a body of mass \(0.5 \mathrm{~kg}\). It is whirled in a vertical circle with angular frequency \(4 \mathrm{rad} / \mathrm{s}\). The tension in the string when the body is at the lower most point of its motion will be equal to (take, \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(3\;N\)
2 \(5\;N\)
3 \(8\;N\)
4 \(13\;N\)
PHXI06:WORK ENERGY AND POWER

355723 A ball suspended by a thread swings in a vertical plane so that its magnitude of acceleration in the extreme position and lowest position are equal. The angle \((\theta)\) of thread deflection in the extreme position will be :

1 \(2 \tan ^{-1}\left(\dfrac{1}{2}\right)\)
2 \(\tan ^{-1}(\sqrt{2})\)
3 \(2 \tan ^{-1}\left(\dfrac{1}{\sqrt{5}}\right)\)
4 \(\tan ^{-1}\left(\dfrac{1}{2}\right)\)
PHXI06:WORK ENERGY AND POWER

355724 A heavy particle hanging from a string of length \(l\) is projected horizontally with speed \(\sqrt{g l}\). The speed of the particle at the point where the tension in the string equals weight of the particle is

1 \(\sqrt{g l / 2}\)
2 \(\sqrt{g l / 3}\)
3 \(\sqrt{2 g l}\)
4 \(\sqrt{3 g l}\)
PHXI06:WORK ENERGY AND POWER

355725 A ball whirls around in a vertical circle at the end of a string. The other end of the string is fixed at the centre of circle. Assuming the total energy of the ball-Earth system remains constant. What is the difference of tension in string at bottom and top during circular motion
\[
\left(T_{\text {bottom }}-T_{\text {top }}=\right.\text { ?) }
\]

1 3.5 \(mg\)
2 5 \(mg\)
3 3 \(mg\)
4 6 \(mg\)
PHXI06:WORK ENERGY AND POWER

355726 One end of the string of length \(1.0 \mathrm{~m}\) is tied to a body of mass \(0.5 \mathrm{~kg}\). It is whirled in a vertical circle with angular frequency \(4 \mathrm{rad} / \mathrm{s}\). The tension in the string when the body is at the lower most point of its motion will be equal to (take, \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(3\;N\)
2 \(5\;N\)
3 \(8\;N\)
4 \(13\;N\)
PHXI06:WORK ENERGY AND POWER

355723 A ball suspended by a thread swings in a vertical plane so that its magnitude of acceleration in the extreme position and lowest position are equal. The angle \((\theta)\) of thread deflection in the extreme position will be :

1 \(2 \tan ^{-1}\left(\dfrac{1}{2}\right)\)
2 \(\tan ^{-1}(\sqrt{2})\)
3 \(2 \tan ^{-1}\left(\dfrac{1}{\sqrt{5}}\right)\)
4 \(\tan ^{-1}\left(\dfrac{1}{2}\right)\)
PHXI06:WORK ENERGY AND POWER

355724 A heavy particle hanging from a string of length \(l\) is projected horizontally with speed \(\sqrt{g l}\). The speed of the particle at the point where the tension in the string equals weight of the particle is

1 \(\sqrt{g l / 2}\)
2 \(\sqrt{g l / 3}\)
3 \(\sqrt{2 g l}\)
4 \(\sqrt{3 g l}\)
PHXI06:WORK ENERGY AND POWER

355725 A ball whirls around in a vertical circle at the end of a string. The other end of the string is fixed at the centre of circle. Assuming the total energy of the ball-Earth system remains constant. What is the difference of tension in string at bottom and top during circular motion
\[
\left(T_{\text {bottom }}-T_{\text {top }}=\right.\text { ?) }
\]

1 3.5 \(mg\)
2 5 \(mg\)
3 3 \(mg\)
4 6 \(mg\)
PHXI06:WORK ENERGY AND POWER

355726 One end of the string of length \(1.0 \mathrm{~m}\) is tied to a body of mass \(0.5 \mathrm{~kg}\). It is whirled in a vertical circle with angular frequency \(4 \mathrm{rad} / \mathrm{s}\). The tension in the string when the body is at the lower most point of its motion will be equal to (take, \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(3\;N\)
2 \(5\;N\)
3 \(8\;N\)
4 \(13\;N\)