Torque and Angular Momentum
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366166 A particle is made to move in circular path with decreasing speed. Which of the following is correct?

1 Particle moves in helical path
2 Only the direction of \(\vec{L}\) is constant
3 Angular momentum is constant
4 Acceleration is always directed towards the centre
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366167 Consider the following two equations
(A) \(L=I \omega\)
(B) \(\dfrac{d L}{d t}=\tau\)
In Non-inertial frame

1 both \(A\) and \(B\) are true
2 \(A\) is true but \(B\) is false
3 \(B\) is true but \(A\) is false
4 both \(A\) and \(B\) are false
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366168 A particle of mass \(5 \mathrm{~g}\) is moving with a uniform speed of \(3 \sqrt{2} \mathrm{~cm} / \mathrm{s}\) in the \(x-y\) plane along the line \(y=x+4\). The magnitude of its angular momentum about the origin in \(\mathrm{gcm}^{2} / \mathrm{s}\) is :

1 \(30 \mathrm{~g} \mathrm{~cm}^{2} / \mathrm{s}\)
2 \(40 \mathrm{~g} \mathrm{~cm}^{2} / \mathrm{s}\)
3 \(60 \mathrm{~g} \mathrm{~cm}^{2} / \mathrm{s}\)
4 \(20 \mathrm{~g} \mathrm{~cm}^{2} / \mathrm{s}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366169 A particle is moving in a circular path of radius \(a\), with a constant velocity \(v\) as shown in the figure. The centre of circle is marked by ' \(\mathrm{C}\). The angular momentum from the origin \(\mathrm{O}\) can be written as
supporting img

1 \(v a \cos 2 \theta\)
2 \(v a(1+\cos \theta)\)
3 \(v a(1+\cos 2 \theta)\)
4 \(v a\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366166 A particle is made to move in circular path with decreasing speed. Which of the following is correct?

1 Particle moves in helical path
2 Only the direction of \(\vec{L}\) is constant
3 Angular momentum is constant
4 Acceleration is always directed towards the centre
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366167 Consider the following two equations
(A) \(L=I \omega\)
(B) \(\dfrac{d L}{d t}=\tau\)
In Non-inertial frame

1 both \(A\) and \(B\) are true
2 \(A\) is true but \(B\) is false
3 \(B\) is true but \(A\) is false
4 both \(A\) and \(B\) are false
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366168 A particle of mass \(5 \mathrm{~g}\) is moving with a uniform speed of \(3 \sqrt{2} \mathrm{~cm} / \mathrm{s}\) in the \(x-y\) plane along the line \(y=x+4\). The magnitude of its angular momentum about the origin in \(\mathrm{gcm}^{2} / \mathrm{s}\) is :

1 \(30 \mathrm{~g} \mathrm{~cm}^{2} / \mathrm{s}\)
2 \(40 \mathrm{~g} \mathrm{~cm}^{2} / \mathrm{s}\)
3 \(60 \mathrm{~g} \mathrm{~cm}^{2} / \mathrm{s}\)
4 \(20 \mathrm{~g} \mathrm{~cm}^{2} / \mathrm{s}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366169 A particle is moving in a circular path of radius \(a\), with a constant velocity \(v\) as shown in the figure. The centre of circle is marked by ' \(\mathrm{C}\). The angular momentum from the origin \(\mathrm{O}\) can be written as
supporting img

1 \(v a \cos 2 \theta\)
2 \(v a(1+\cos \theta)\)
3 \(v a(1+\cos 2 \theta)\)
4 \(v a\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366166 A particle is made to move in circular path with decreasing speed. Which of the following is correct?

1 Particle moves in helical path
2 Only the direction of \(\vec{L}\) is constant
3 Angular momentum is constant
4 Acceleration is always directed towards the centre
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366167 Consider the following two equations
(A) \(L=I \omega\)
(B) \(\dfrac{d L}{d t}=\tau\)
In Non-inertial frame

1 both \(A\) and \(B\) are true
2 \(A\) is true but \(B\) is false
3 \(B\) is true but \(A\) is false
4 both \(A\) and \(B\) are false
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366168 A particle of mass \(5 \mathrm{~g}\) is moving with a uniform speed of \(3 \sqrt{2} \mathrm{~cm} / \mathrm{s}\) in the \(x-y\) plane along the line \(y=x+4\). The magnitude of its angular momentum about the origin in \(\mathrm{gcm}^{2} / \mathrm{s}\) is :

1 \(30 \mathrm{~g} \mathrm{~cm}^{2} / \mathrm{s}\)
2 \(40 \mathrm{~g} \mathrm{~cm}^{2} / \mathrm{s}\)
3 \(60 \mathrm{~g} \mathrm{~cm}^{2} / \mathrm{s}\)
4 \(20 \mathrm{~g} \mathrm{~cm}^{2} / \mathrm{s}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366169 A particle is moving in a circular path of radius \(a\), with a constant velocity \(v\) as shown in the figure. The centre of circle is marked by ' \(\mathrm{C}\). The angular momentum from the origin \(\mathrm{O}\) can be written as
supporting img

1 \(v a \cos 2 \theta\)
2 \(v a(1+\cos \theta)\)
3 \(v a(1+\cos 2 \theta)\)
4 \(v a\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366166 A particle is made to move in circular path with decreasing speed. Which of the following is correct?

1 Particle moves in helical path
2 Only the direction of \(\vec{L}\) is constant
3 Angular momentum is constant
4 Acceleration is always directed towards the centre
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366167 Consider the following two equations
(A) \(L=I \omega\)
(B) \(\dfrac{d L}{d t}=\tau\)
In Non-inertial frame

1 both \(A\) and \(B\) are true
2 \(A\) is true but \(B\) is false
3 \(B\) is true but \(A\) is false
4 both \(A\) and \(B\) are false
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366168 A particle of mass \(5 \mathrm{~g}\) is moving with a uniform speed of \(3 \sqrt{2} \mathrm{~cm} / \mathrm{s}\) in the \(x-y\) plane along the line \(y=x+4\). The magnitude of its angular momentum about the origin in \(\mathrm{gcm}^{2} / \mathrm{s}\) is :

1 \(30 \mathrm{~g} \mathrm{~cm}^{2} / \mathrm{s}\)
2 \(40 \mathrm{~g} \mathrm{~cm}^{2} / \mathrm{s}\)
3 \(60 \mathrm{~g} \mathrm{~cm}^{2} / \mathrm{s}\)
4 \(20 \mathrm{~g} \mathrm{~cm}^{2} / \mathrm{s}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366169 A particle is moving in a circular path of radius \(a\), with a constant velocity \(v\) as shown in the figure. The centre of circle is marked by ' \(\mathrm{C}\). The angular momentum from the origin \(\mathrm{O}\) can be written as
supporting img

1 \(v a \cos 2 \theta\)
2 \(v a(1+\cos \theta)\)
3 \(v a(1+\cos 2 \theta)\)
4 \(v a\)