Question 1 :
When a body moves with a constant speed along a circle:
Question 2 :
For a particle in circular motion the centripetal acceleration should be
Question 3 :
An electric fan has blades of length $30 cm$ as measured from the axis of rotation. If the fan is rotating at $1200 rpm$, the acceleration of a point on the tip of the blade is about<br/>
Question 4 :
A particle is moving in a circular path. The acceleration and momentum vectors at an instant of time are $\vec{a} = 2\vec{i} + 3\vec{j} \ m/s^2$ and $\vec{P} = 6\vec{i} - 4\vec{j}$ kgm/s. Then the motion of the particle is:
Question 5 :
A body moving in circular motion with constant speed has :
Question 6 :
Consider the motion of the tip of the minute hand of a clock. In one hour<br/>
Question 7 :
A solid sphere of mass $M$ and radius $2R$ rolls down an inclined plane of height $h$ without slipping. The speed of its center of mass when it reaches the bottom is
Question 8 :
A stone of mass $0.25 kg$ tied to the end of a string is whirled round in a circle of radius $1.5 m$ with speed $40 { rev }/{ min }$ in a horizontal plane. What is the tension in the string and what is the maximum speed with which the stone can be whirled around, if the string can withstand a maximum tension of $200 N$?
Question 9 :
A car is moving on a circular path and takes a turn. if ${ R }_{ 1 }$ and ${ R }_{ 2 }$, be the reactions on the inner and outer wheels respectively, then
Question 10 :
Assertion: It is possible to accelerate even if you are travelling at constant speed.
Reason: In the uniform circular motion, even if the particle has the constant speed, it has an acceleration.
Question 11 :
What happens to the centripetal acceleration of a revolving body if you double the orbital speed $v$ and half angular velocity $\omega $
Question 12 :
Assertion: Velocity and acceleration of a particle in circular motion at some instant are: $\displaystyle \vec{v}= \left ( 2\hat{i} \right )ms^{-1}\:and\:\vec{a}= \left ( -\hat{i}+2\hat{j} \right )ms^{-2},$ then radius of circle is $2$ m.
Reason: Speed of particle is decreasing at a rate of $1\displaystyle ms^{-2}.$
Question 13 :
In Uniform circular motion direction of velocity is along the _______ drawn to the position of particle on the circumference of the circle. <br>
Question 14 :
For a particle in uniform circular motion the acceleration $\vec{\mathrm{a}}$ at a point $\mathrm{P}(\mathrm{R}, \theta)$ on the circle of radius $\mathrm{R}$ is (here 'v' is the speed of the particle and $\theta$ is measured from the x-axis) <br/>
Question 15 :
Assertion: It is possible to accelerate even if you are travelling at constant speed.
Reason: In the uniform circular motion, even if the particle has the constant speed, it has an acceleration.
Question 16 :
When a force $F_1$ acts on a particle, frequency $6$Hz and when a force $F_2$ acts, frequency is 8 Hz. What is the frequency when both the force act simultaneously in same direction?
Question 17 :
A particle is moving in a circle of radius $R$ in such a way that at any instant the normal and tangential component of its acceleration are equal. If its speed at $t=0$ is $\displaystyle v_{0}.$ The time taken to complete the first revolution is
Question 19 :
A particle moves in a circle of the radius $25cm$ at two revolutions per second. The acceleration of the particle in $m/{sec}^{2}$ is
Question 20 :
Find the average acceleration between points A and B at an angular separation of $60^{\circ}$<br>
Question 21 :
Assertion: Work done by friction force in case of pure rolling,is equal to change in rotational energy.
Reason: Ratio of kinetic energy of rotation to kinetic energy of translation is fixed for every case.
Question 22 :
A uniform disc of mass $M$ and radius $R$ is mounted on an axle supported in frictionless bearings. A light cord is wrapped around the rim of the disc and a steady downward pull $T$ is exerted on the cord. The tangential acceleration of a point on the rim is
Question 23 :
Velocity of a particle varies as $\vec{V}=y\hat{i}-x\hat{j}$ under the effect of a single variable force. Then<br/>
Question 24 :
The velocity of a car travelling on a straight road is $3.5km{ h }^{ -1 }$ at an instant of time. Now travelling with uniform acceleration for $10s$ the velocity becomes exactly double. If the wheel radius of the car is $25cm$, then which of the following is the closest to the number of revolutions that the wheel makes during this $10s$?
Question 25 :
A merry-go-round, made of a ring-like platform of radius R and mass M. is revolving with angular speed $\omega$? A person of mass M is standing on it. At one instant., the person jumps off the<br>round, radially away from the center of the round (as seen from the round). The speed of the round afterwards is:
Question 26 :
A disc rotates about its axis with a constant angular acceleration of $4$ rad$/s^2$. Find the radius tangential accelerations of a particle at a distance of $1$ cm from the axis at the end of the second after the disc starts rotating.
Question 27 :
A wheel is making Revolution about axis with uniform angular acceleration, Starting from rest, it reaches $100\ rev/sec$ in $4\ seconds$. Find the angular rotated during these four seconds.
Question 28 :
A wheel has moment of inertia $10^{-2} kg-m^2$ and is making 10 rps. The torque required to stop it in 5 secs is
Question 29 :
When seen from below , the blades of a ceiling fan are seen to be revolving anticlockwise and their speed is decreasing. Select correct statement about the direction of its angular velocity and angular acceleration.
Question 30 :
A particle of mass $10\ g$ moves along a circle of radius $6.4\ cm$ with a constant tangential acceleration. What is the magnitude of this acceleration if the kinetic energy of the particle becomes equal to $8 \times {10}^{-4} J$ by the end of the second revolution after the beginning of the motion?
