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Q. No.The angular acceleration of a body moving along the circumference of a circle is:
1.
along the axis of rotation
2.
along the radius, away from the centre
3.
along the radius towards the centre
4.
along the tangent to its position
Subtopic: Rotational Motion: Kinematics |
52%
Level 3: 35%-60%
NEET - 2023
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Two particles \(A\) and \(B\) initially at rest, move toward each other under the mutual force of attraction. At an instance when the speed of \(A\) is \(v\) and speed of \(B\) is \(3v,\) the speed of the centre-of-mass will be:
1. \(2v\)
2. zero
3. \(v\)
4. \(4v\)
1. \(2v\)
2. zero
3. \(v\)
4. \(4v\)
Subtopic: Center of Mass |
71%
Level 2: 60%+
NEET - 2023
Hints
A constant torque of \(100~\text{N-m}\) turns a wheel of moment of inertia \(300~\text{kg-m}^2\) about an axis passing through its centre. Starting from rest, its angular velocity after \(3~\text{s} \) is:
1. \(1~\text{rad/s}\)
2. \(5~\text{rad/s}\)
3. \(10~\text{rad/s}\)
4. \(15~\text{rad/s}\)
1. \(1~\text{rad/s}\)
2. \(5~\text{rad/s}\)
3. \(10~\text{rad/s}\)
4. \(15~\text{rad/s}\)
Subtopic: Rotational Motion: Dynamics |
81%
Level 1: 80%+
NEET - 2023
Hints
Two discs are rotating about their respective axes, which are normal to the discs and pass through their centres. Disc \(D_1\) has a \(2\) kg mass and \(0.2\) m radius and an initial angular velocity of \(50~\text{rad} ~\text{s}^{-1}.\) Disc \(D_2\) has a \(4\) kg mass, \(0.1\) m radius and an initial angular velocity of \(200~\text{rad} ~\text{s}^{-1}.\) The two discs are brought into contact face to face, with their axes of rotation coincident. The final angular velocity (in \(\text{rad} ~\text{s}^{-1}\)) of the combined system is:
1. \(60\)
2. \(100\)
3. \(120\)
4. \(40\)
1. \(60\)
2. \(100\)
3. \(120\)
4. \(40\)
Subtopic: Angular Momentum |
77%
Level 2: 60%+
NEET - 2013
Hints
The ratio of radii of gyration of a circular ring and a circular disc, of the same mass and radius, about an axis passing through their centres and perpendicular to their planes are:
1. \(1 : \sqrt 2\)
2. \(3:2\)
3. \(2:1\)
4. \( \sqrt 2 : 1 \)
1. \(1 : \sqrt 2\)
2. \(3:2\)
3. \(2:1\)
4. \( \sqrt 2 : 1 \)
Subtopic: Moment of Inertia |
77%
Level 2: 60%+
NEET - 2013
Hints
For the alphabet \(V\) made from a thin uniform wire as shown, the centre-of-mass will be at:
1. \((0,0)\)
2. \((0,3)\)
3. \((3,0)\)
4. \((2,3)\)
1. \((0,0)\)
2. \((0,3)\)
3. \((3,0)\)
4. \((2,3)\)
Subtopic: Center of Mass |
77%
Level 2: 60%+
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A man and a plank system are moving horizontally on a smooth surface with a velocity of \(10~\text{m/s}.\) With what velocity should the man jump out of the plank so that the plank comes to rest if the mass of the plank is double the mass of the man?
1. \(10~\text{m/s}\)
2. \(20~\text{m/s}\)
3. \(30~\text{m/s}\)
4. not possible
1. \(10~\text{m/s}\)
2. \(20~\text{m/s}\)
3. \(30~\text{m/s}\)
4. not possible
Subtopic: Linear Momentum |
66%
Level 2: 60%+
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A man standing on a still boat jumps out horizontally with a speed of \(20~\text{m/s}\) with respect to the boat. If the mass of the man is \(70~\text{kg}\) and that of the boat is \(210~\text{kg},\) then the speed of the boat after the man jumps will be:
1. \(20~\text{m/s}\)
2. \(6.67~\text{m/s}\)
3. \(5~\text{m/s}\)
4. \(15~\text{m/s}\)
1. \(20~\text{m/s}\)
2. \(6.67~\text{m/s}\)
3. \(5~\text{m/s}\)
4. \(15~\text{m/s}\)
Subtopic: Linear Momentum |
Level 3: 35%-60%
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A \(\sqrt {34}\) m long ladder weighing \(10\) kg leans on a frictionless wall. Its feet rest on the floor \(3\) m away from the wall as shown in the figure. If \(\mathrm F_ \mathrm f\) and \(\mathrm F_ \mathrm w\) are the reaction forces of the floor and the wall, then ratio of \(\mathrm F_ \mathrm w / \mathrm F_ \mathrm f\) will be: (Take \(g=10\) m/s2)
1. \(\dfrac{6}{\sqrt{110}} \)
2. \(\dfrac{3}{\sqrt{113}} \)
3. \(\dfrac{3}{\sqrt{109}} \)
4. \( \dfrac{2}{\sqrt{109}}\)
1. \(\dfrac{6}{\sqrt{110}} \)
2. \(\dfrac{3}{\sqrt{113}} \)
3. \(\dfrac{3}{\sqrt{109}} \)
4. \( \dfrac{2}{\sqrt{109}}\)
Subtopic: Torque |
67%
Level 2: 60%+
JEE
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Two point masses, \(m_{A}=2\) g and \(m_{B}=3\) g, are connected by a massless rod of length \(1\) m (see figure). The centre-of-mass of the system will lie at a distance of:
1. \(0.4\) m from \(m_{A}\)
2. \(0.6\) m from \(m_{A}\)
3. \(0.5\) m from \(m_{A}\)
4. \(0.7\) m from \(m_{A}\)
1. \(0.4\) m from \(m_{A}\)
2. \(0.6\) m from \(m_{A}\)
3. \(0.5\) m from \(m_{A}\)
4. \(0.7\) m from \(m_{A}\)
Subtopic: Center of Mass |
83%
Level 1: 80%+
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