1. Tardigrade
  2. Question
  3. Physics
  4. Consider a wheel of a bicycle rolling on a level road at a linear speed v0 :

Q. Consider a wheel of a bicycle rolling on a level road at a linear speed $v_{0}$ :Physics Question Image

System of Particles and Rotational Motion Report Error

Solution:

For pure rolling the bottom most point will remain at rest hence option (A) is correct. In every point of wheel there will be two speeds $v_{0}$, one due to translational motion in forward direction and other due to rotational motion along tangential direction so speed of any point is the vector sum of these two hence option (C) and (D) is correct.

Questions from System of Particles and Rotational Motion

1. A disc is rolling, the velocity of its centre of mass is $V_{cm}$. Which one of these will be correct ?

AIPMT 2001

2. The centre of mass of a system of three particles of masses $1\,g, 2\,g$ and $3\,g$ is taken as the origin of a coordinate system. The position vector of a fourth particle of mass $4\, g$ such that the centre of mass of the four particle system lies at the point $(1, 2, 3)$ is a $(\hat i + 2 \hat j + 3 \hat k)$ , where a is a constant. The value of $\alpha$ is

3. Two particles of equal mass have velocities $\vec{\upsilon_{1}}=4\hat{i}\,m\,s^{-1}$ and $\vec{\upsilon_{2}}=4\hat{j}\,m\,s^{-1}$. First particles has an acceleration $\vec{a}_{1}=\left(5\hat{i}+5\hat{j}\right)m\,s^{-2}$ while the acceleration of the other particle is zero. The centre of mass of the two particles moves in a path of

4. What is the torque of a force $ 3\hat{i}+7\hat{j}+4\hat{k} $ about the origin, if the force acts on a particle whose position vector is $ 2\hat{i}+2\hat{j}+1\hat{k} $ ?

J & K CET 2014

5. The angular velocity of a body is $\overset{ \rightarrow }{\omega }=2\hat{i}+3\hat{j}+4\hat{k}$ and a torque $\overset{ \rightarrow }{\tau}=\hat{i}+2\hat{j}+3\hat{k}$ acts on it. The rotational power will be

NTA Abhyas 2020

Physics Most Viewed Questions

1. If $E$ and $G$ respectively denote energy and gravitational constant, then $\frac{ E }{ G }$ has the dimensions of:

NEET 2021 Physical World, Units and Measurements

2. The de Broglie wavelength of an electron moving with kinetic energy of $144 \,eV$ is nearly

NEET 2020 Dual Nature of Radiation and Matter

3. A car starts from rest and accelerates at $5\, m / s ^{2}$ At $t=4\, s$, a ball is dropped out of a window by a person sitting in the car. What is the velocity and acceleration of the ball at $t =6\, s$ ? (Take $\left. g =10\, m / s ^{2}\right)$

NEET 2021 Motion in a Straight Line

4. A wheel with $20$ metallic spokes each $1\, m$ long is rotated with a speed of $120\, rpm$ in a plane perpendicular to a magnetic field of $0.4\, G$. The induced emf between the axle and rim of the wheel will be, $(1 G = 10^{-4}\, T)$

NEET 2020 Electromagnetic Induction

5. A barometer is constructed using a liquid (density $= 760 \,kg/m^{3})$ What would be the height of the liquid column, when a mercury barometer reads $76\, cm$ ?
(density of mercury $= 13600 kg/m^{3})$

NEET 2020 Mechanical Properties of Fluids

Latest Updates