Which of the following points is the likely position of the centre of mass of the system shown in the figure ?
- AA
- BB
- ✓C
- DD
Answer: C.
View full solution →Question types
Systems of Particles and Rotational Motion question types
25 questions across 4 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.
25
Questions
4
Question groups
5
Question types
Sample Questions
Systems of Particles and Rotational Motion questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
In problem 7.5, the CM of the plate is now in the following quadrant of x - y plane:
- AI
- BII
- ✓III
- DIV
Answer: C.
View full solution →A particle of mass $m$ is moving in $yz-$ plane with a uniform velocity $v$ with its trajectory running parallel to $+ve\ y-$ axis and intersecting $z-$ axis at $z = a$. The change in its angular momentum about the origin as it bounces elastically from a wall at $y$ = constant is:
- A${mva}\hat{e}_{x}$
- ✓$2{mva}\hat{e}_{x}$
- C${ymv}\hat{e}_{x}$
- D$2{ymv}\hat{e}_{x}$
Answer: B.
View full solution →Choose the correct alternatives:
- For a general rotational motion, angular momentum $L$ and angular velocity $\omega$ need not be parallel.
- For a rotational motion about a fixed axis, angular momentum $L \omega$ are always parallel.
- For a general translational motion, momentum $P$ and velocity $v$ are aways parallel.
- For a general translational motion, acceleration $a$ and velocity $v$ are always parallel.
- A$a$ and $b$
- ✓$a$ and $c$
- C$b$ and $d$
- DAll of the above
Answer: B.
View full solution →For which of the following does the centre of mass lie outside the body?
- AA pencil
- BA shotput
- CA dice
- ✓A bangle
Answer: D.
View full solution →The variation of angular position ; background:rgba(220,220,220,0.5))
of a point on a rotating rigid body, with time t is shown in is the body rotating clock-wise or anti-clockwise?
of a point on a rotating rigid body, with time t is shown in is the body rotating clock-wise or anti-clockwise?The centre of gravity of a body on the earth coincides with its centre of mass for a ‘small’ object whereas for an ‘extended’ object it may not. What is the qualitative meaning of ‘small’ and ‘extended’ in this regard?
For which of the following the two coincides? A building, a pond, a lake, a mountain?
For which of the following the two coincides? A building, a pond, a lake, a mountain?
Why does a solid sphere have smaller moment of inertia than a hollow cylinder of same mass and radius, about an axis passing through their axes of symmetry?
A door is hinged at one end and is free to rotate about a vertical axis. Does its weight cause any torque about this axis? Give reason for your answer.
The vector sum of a system of non-collinear forces acting on a rigid body is given to be non-zero. If the vector sum of all the torques due to the system of forces about a certain point is found to be zero, does this mean that it is necessarily zero about any arbitrary point?
A uniform square plate S(side c) and a uniform rectangular plate R(sides b, a) have identical areas and masses: 
Show that:
View full solution →Show that:
- $\frac{\text{I}_\text{xR}}{\text{I}_\text{xS}}<1$
- $\frac{\text{I}_\text{ys}}{\text{I}_\text{ys}}>1$
- $\frac{\text{I}_{2\text{R}}}{\text{I}_{2\text{s}}}>1$
A wheel in uniform motion about an axis passing through its centre and perpendicular to its plane is considered to be in mechanical (translational plus rotational) equilibrium because no net external force or torque is required to sustain its motion. However, the particles that constitute the wheel do experience a centripetal acceleration directed towards the centre.How do you reconcile this fact with the wheel being in equilibrium?
How would you set a half-wheel into uniform motion about an axis passing through the centre of mass of the wheel and perpendicular to its plane? Will you require external forces to sustain the motion?
How would you set a half-wheel into uniform motion about an axis passing through the centre of mass of the wheel and perpendicular to its plane? Will you require external forces to sustain the motion?
A uniform disc of radius R, is resting on a table on its rim.The coefficient of friction between disc and table is $\mu.$Now the disc is pulled with a force F as shown in the figure. What is the maximum value of F for which the disc rolls without slipping?
View full solution →Two cylindrical hollow drums of radii R and 2R, and of a common height h, are rotating with angular velocities $\omega$ (anti-clockwise) and $\omega$ (clockwise), respectively. Their axes, fixed are parallel and in a horizontal plane separated by $(3\text{R}+\delta).$ They are now brought in contact $(\delta\rightarrow0){:}$
View full solution →- Show the frictional forces just after contact.
- Identify forces and torques external to the system just after contact.
- What would be the ratio of final angular velocities when friction ceases?
$(n - 1)$ equal point masses each of mass m are placed at the vertices of a regular n-polygon. The vacant vertex has a position vector a with respect to the centre of the polygon. Find the position vector of centre of mass.
View full solution →Generate a Systems of Particles and Rotational Motion paper free
Pick question groups from the list above, set marks and difficulty, and export a branded PDF with step-by-step answer keys. First 3 chapters free — no signup.