Vertical Circular Motion
PHXI06:WORK ENERGY AND POWER

355740 A particle is rotated in a vertical circle by connecting it to a light rod of length \(l\) and keeping the other end of the rod fixed. The minimum speed of the particle when the light rod is horizontal for which the particle will complete the circle is

1 \(\sqrt{3 g l}\)
2 \(\sqrt{g l}\)
3 \(\sqrt{2 g l}\)
4 None of these
PHXI06:WORK ENERGY AND POWER

355741 A bob of mass \(m\) is suspended by a light string of length \(L\). It is imparted a horizontal velocity at the lowest point \(A\) such that it completes a circle in the vertical plane.
Match Column I with Column II
Column I
Column II
A
\({v_A}\)
P
5
B
\({v_B}\)
Q
\(\sqrt {gL} \)
C
\({v_C}\)
R
\(\sqrt {5gL} \)
D
Ratio of kinetic energy of \(A\) and \(C\)
S
\(\sqrt {3gL} \)
supporting img

1 A - P, B - Q, C - S, D - R
2 A - Q, B - R, C - P, D - S
3 A - R, B - S, C - Q, D - P
4 A - S, B - P, C - R, D - Q
PHXI06:WORK ENERGY AND POWER

355742 The bob of a pendulum at rest is given a sharp hit to impart a horizontal velocity \(\sqrt{10 g l}\), where \(l\) is the length of the pendulum. Find the tension in the string when the string makes an angle \(60^{\circ}\) w.r.to \(+y\)-axis

1 3.5 \(mg\)
2 7 \(mg\)
3 4.5 \(mg\)
4 6.5 \(mg\)
PHXI06:WORK ENERGY AND POWER

355743 A stone of mass \(m\), tied to a string is being whirled in a vertical circle with a uniform speed. The tension in the string is:

1 same throughout the motion
2 minimum at the highest position of the circular path
3 minimum at the lowest position of the circular path
4 minimum when the rope is in the horizontal position
PHXI06:WORK ENERGY AND POWER

355744 Find the maximum radius of circle, so that the block can complete the circular motion.
supporting img

1 \(5\;cm\)
2 \(3\;cm\)
3 \(2\;cm\)
4 \(4\;cm\)
PHXI06:WORK ENERGY AND POWER

355740 A particle is rotated in a vertical circle by connecting it to a light rod of length \(l\) and keeping the other end of the rod fixed. The minimum speed of the particle when the light rod is horizontal for which the particle will complete the circle is

1 \(\sqrt{3 g l}\)
2 \(\sqrt{g l}\)
3 \(\sqrt{2 g l}\)
4 None of these
PHXI06:WORK ENERGY AND POWER

355741 A bob of mass \(m\) is suspended by a light string of length \(L\). It is imparted a horizontal velocity at the lowest point \(A\) such that it completes a circle in the vertical plane.
Match Column I with Column II
Column I
Column II
A
\({v_A}\)
P
5
B
\({v_B}\)
Q
\(\sqrt {gL} \)
C
\({v_C}\)
R
\(\sqrt {5gL} \)
D
Ratio of kinetic energy of \(A\) and \(C\)
S
\(\sqrt {3gL} \)
supporting img

1 A - P, B - Q, C - S, D - R
2 A - Q, B - R, C - P, D - S
3 A - R, B - S, C - Q, D - P
4 A - S, B - P, C - R, D - Q
PHXI06:WORK ENERGY AND POWER

355742 The bob of a pendulum at rest is given a sharp hit to impart a horizontal velocity \(\sqrt{10 g l}\), where \(l\) is the length of the pendulum. Find the tension in the string when the string makes an angle \(60^{\circ}\) w.r.to \(+y\)-axis

1 3.5 \(mg\)
2 7 \(mg\)
3 4.5 \(mg\)
4 6.5 \(mg\)
PHXI06:WORK ENERGY AND POWER

355743 A stone of mass \(m\), tied to a string is being whirled in a vertical circle with a uniform speed. The tension in the string is:

1 same throughout the motion
2 minimum at the highest position of the circular path
3 minimum at the lowest position of the circular path
4 minimum when the rope is in the horizontal position
PHXI06:WORK ENERGY AND POWER

355744 Find the maximum radius of circle, so that the block can complete the circular motion.
supporting img

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

355740 A particle is rotated in a vertical circle by connecting it to a light rod of length \(l\) and keeping the other end of the rod fixed. The minimum speed of the particle when the light rod is horizontal for which the particle will complete the circle is

1 \(\sqrt{3 g l}\)
2 \(\sqrt{g l}\)
3 \(\sqrt{2 g l}\)
4 None of these
PHXI06:WORK ENERGY AND POWER

355741 A bob of mass \(m\) is suspended by a light string of length \(L\). It is imparted a horizontal velocity at the lowest point \(A\) such that it completes a circle in the vertical plane.
Match Column I with Column II
Column I
Column II
A
\({v_A}\)
P
5
B
\({v_B}\)
Q
\(\sqrt {gL} \)
C
\({v_C}\)
R
\(\sqrt {5gL} \)
D
Ratio of kinetic energy of \(A\) and \(C\)
S
\(\sqrt {3gL} \)
supporting img

1 A - P, B - Q, C - S, D - R
2 A - Q, B - R, C - P, D - S
3 A - R, B - S, C - Q, D - P
4 A - S, B - P, C - R, D - Q
PHXI06:WORK ENERGY AND POWER

355742 The bob of a pendulum at rest is given a sharp hit to impart a horizontal velocity \(\sqrt{10 g l}\), where \(l\) is the length of the pendulum. Find the tension in the string when the string makes an angle \(60^{\circ}\) w.r.to \(+y\)-axis

1 3.5 \(mg\)
2 7 \(mg\)
3 4.5 \(mg\)
4 6.5 \(mg\)
PHXI06:WORK ENERGY AND POWER

355743 A stone of mass \(m\), tied to a string is being whirled in a vertical circle with a uniform speed. The tension in the string is:

1 same throughout the motion
2 minimum at the highest position of the circular path
3 minimum at the lowest position of the circular path
4 minimum when the rope is in the horizontal position
PHXI06:WORK ENERGY AND POWER

355744 Find the maximum radius of circle, so that the block can complete the circular motion.
supporting img

1 \(5\;cm\)
2 \(3\;cm\)
3 \(2\;cm\)
4 \(4\;cm\)
PHXI06:WORK ENERGY AND POWER

355740 A particle is rotated in a vertical circle by connecting it to a light rod of length \(l\) and keeping the other end of the rod fixed. The minimum speed of the particle when the light rod is horizontal for which the particle will complete the circle is

1 \(\sqrt{3 g l}\)
2 \(\sqrt{g l}\)
3 \(\sqrt{2 g l}\)
4 None of these
PHXI06:WORK ENERGY AND POWER

355741 A bob of mass \(m\) is suspended by a light string of length \(L\). It is imparted a horizontal velocity at the lowest point \(A\) such that it completes a circle in the vertical plane.
Match Column I with Column II
Column I
Column II
A
\({v_A}\)
P
5
B
\({v_B}\)
Q
\(\sqrt {gL} \)
C
\({v_C}\)
R
\(\sqrt {5gL} \)
D
Ratio of kinetic energy of \(A\) and \(C\)
S
\(\sqrt {3gL} \)
supporting img

1 A - P, B - Q, C - S, D - R
2 A - Q, B - R, C - P, D - S
3 A - R, B - S, C - Q, D - P
4 A - S, B - P, C - R, D - Q
PHXI06:WORK ENERGY AND POWER

355742 The bob of a pendulum at rest is given a sharp hit to impart a horizontal velocity \(\sqrt{10 g l}\), where \(l\) is the length of the pendulum. Find the tension in the string when the string makes an angle \(60^{\circ}\) w.r.to \(+y\)-axis

1 3.5 \(mg\)
2 7 \(mg\)
3 4.5 \(mg\)
4 6.5 \(mg\)
PHXI06:WORK ENERGY AND POWER

355743 A stone of mass \(m\), tied to a string is being whirled in a vertical circle with a uniform speed. The tension in the string is:

1 same throughout the motion
2 minimum at the highest position of the circular path
3 minimum at the lowest position of the circular path
4 minimum when the rope is in the horizontal position
PHXI06:WORK ENERGY AND POWER

355744 Find the maximum radius of circle, so that the block can complete the circular motion.
supporting img

1 \(5\;cm\)
2 \(3\;cm\)
3 \(2\;cm\)
4 \(4\;cm\)
PHXI06:WORK ENERGY AND POWER

355740 A particle is rotated in a vertical circle by connecting it to a light rod of length \(l\) and keeping the other end of the rod fixed. The minimum speed of the particle when the light rod is horizontal for which the particle will complete the circle is

1 \(\sqrt{3 g l}\)
2 \(\sqrt{g l}\)
3 \(\sqrt{2 g l}\)
4 None of these
PHXI06:WORK ENERGY AND POWER

355741 A bob of mass \(m\) is suspended by a light string of length \(L\). It is imparted a horizontal velocity at the lowest point \(A\) such that it completes a circle in the vertical plane.
Match Column I with Column II
Column I
Column II
A
\({v_A}\)
P
5
B
\({v_B}\)
Q
\(\sqrt {gL} \)
C
\({v_C}\)
R
\(\sqrt {5gL} \)
D
Ratio of kinetic energy of \(A\) and \(C\)
S
\(\sqrt {3gL} \)
supporting img

1 A - P, B - Q, C - S, D - R
2 A - Q, B - R, C - P, D - S
3 A - R, B - S, C - Q, D - P
4 A - S, B - P, C - R, D - Q
PHXI06:WORK ENERGY AND POWER

355742 The bob of a pendulum at rest is given a sharp hit to impart a horizontal velocity \(\sqrt{10 g l}\), where \(l\) is the length of the pendulum. Find the tension in the string when the string makes an angle \(60^{\circ}\) w.r.to \(+y\)-axis

1 3.5 \(mg\)
2 7 \(mg\)
3 4.5 \(mg\)
4 6.5 \(mg\)
PHXI06:WORK ENERGY AND POWER

355743 A stone of mass \(m\), tied to a string is being whirled in a vertical circle with a uniform speed. The tension in the string is:

1 same throughout the motion
2 minimum at the highest position of the circular path
3 minimum at the lowest position of the circular path
4 minimum when the rope is in the horizontal position
PHXI06:WORK ENERGY AND POWER

355744 Find the maximum radius of circle, so that the block can complete the circular motion.
supporting img

1 \(5\;cm\)
2 \(3\;cm\)
3 \(2\;cm\)
4 \(4\;cm\)