Is it necessary to express all angles in radian while using the equation $\omega=\omega_0+\text{at}?$
View full solution →Question types
Circular Motion question types
40 questions across 5 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.
40
Questions
5
Question groups
5
Question types
01
1 Marks Question
3 Q→022 Marks Questions
8 Q→033 Marks Question
14 Q→045 Marks Questions
10 Q→05Case study (4 Marks)
5 Q→Sample Questions
Circular Motion questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
A stone is fastened to one end of a string and is whirled in a vertical circle of radius R. Find the minimum speed the stone can have at the highest point of the circle.
A scooter weighing 150kg together with its rider moving at 36km/ hr is to take a turn of radius 30m. What horizontal force on the scooter is needed to make the turn possible?
Suppose the amplitude of a simple pendulum having a bob of mass m is $\theta_0.$ Find the tension in the string when the bob is at its extreme position.
View full solution →The bob of a simple pendulum of length 1m has mass 100g and a speed of 1.4m/s at the lowest point in its path. Find the tension in the string at this instant.
A smooth block loosely fits in a circular tube placed on a horizontal surface. The block moves in a uniform circular motion along the tube (figure). Which wall (inner or outer) will exert a nonzero normal contact force on the block?
You are driving a motorcycle on a horizontal road. It is moving with a uniform velocity. Is it possible to accelerate the motoreyle without putting higher petrol input rate into the engine?
A heavy mass m is hanging from a string in equilibrium without breaking it. When this same mass is set into oscillation, the string breaks. Explain.
What is the radius of curvature of the parabola traced out by the projectile in the previous problem at a point where the particle velocity makes an angle $\frac{\theta}{2}$ with the horizontal?
View full solution →A simple pendulum is suspended from the ceiling of a car taking a turn of radius $10m$ at a speed of $36km/ h$. Find the angle made by the string of the pendulum with the vertical if this angle does not change during the turn. Take $g= 10m/s^2$.
View full solution →A particle moves in a circle of radius $1.0\ cm$ at a speed given by $v = 2.0t$ where $v$ is in $cm/s$ and $t$ in seconds.
View full solution →- Find the radial acceleration of the particle at $t = 1s.$
- Find the tangential acceleration at $t = 1s.$
- Find the magnitude of the acceleration at $t = 1s.$
A particle is projected with a speed u at an angle $\theta$ with the horizontal. Consider a small part of its path near the highest position and take it approximately to be a circular arc. What is the radius of this circle? This radius is called the radius of curvature of the curve at the point.
View full solution →A ceiling fan has a diameter (of the circle through the outer edges of the three blades) of 120cm and rpm 1500 at full speed. Consider a particle of mass 1g sticking at the outer end of a blade. How much force does it experience when the fan runs at full speed? Who exerts this force on the particle? How much force does the particle exert on the blade along its surface?
A person stands on a spring balance at the equator.
- By what fraction is the balance reading less than his true weight?
- If the speed of earth's rotation is increased by such an amount that the balance reading is half the true weight, what will be the length of the day in this case?
A hemispherical bowl of radius $R$ is rotated about its axis of symmetry which is kept vertical. A small block is kept in the bowl at a position where the radius makes an angle $\theta$ with the vertical. The block rotates with the bowl without any slipping. The friction coefficient between the block and the bowl surface is $\mu.$ Find the range of the angular speed for which the block will not slip.
View full solution →A block of mass m moves on a horizontal circle against the wall of a cylindrical room of radius R. The floor of the room on which the block moves is smooth but the friction coefficient between the wall and the block is $\mu.$ The block is given an initial speed $\nu_0.$ As a function of the speed $\nu$ write,
View full solution →- The normal force by the wall on the block.
- The frictional force by the wall.
- The tangential acceleration of the block.
- Integrate the tangential acceleration $\Big(\frac{\text{d}\nu}{\text{dt}}=\nu\frac{\text{d}\nu}{\text{ds}}\Big)$ to obtain the speed dt ds of the block after one revolution.
A car goes on a horizontal circular road of radius R, the speed increasing at a constant rate $\frac{\text{d}\nu}{\text{dt}}=\text{a}.$ The friction dt coefficient between the road and the tyre is $\mu.$ Find the speed at which the car will skid.
View full solution →A table with smooth horizontal surface is fixed in a cabin that rotates with a uniform angular velocity $\omega$ in a circular path of radius R (In figure). A smooth groove AB of length L(<$\theta$ with the radius OA of the circle in which the cabin rotates. A small particle is kept at the point A in the groove and is released to move along AB. Find the time taken by the particle to reach the point B.
View full solution →A small coin is placed on a record rotating at $33\frac{1}{3}$ rev/ minute. The coin does not slip on the record. Where does it get the required centripetal force from?
View full solution →After a good meal at a party you wash your hands and find that you have forgotten to bring your handkerchief. You shake your hands vigorously to remove the water as much as you can. Why is water removed in this process?
A car driver going at some speed v suddenly finds a wide wall at a distance r. Should he apply brakes or turn the car in a circle of radius r to avoid hitting the wall?
A bird while flying takes a left turn, where does it get the centripetal force from?
Some washing machines have cloth driers. It contains a drum in which wet clothes are kept. As the drum rotates, the water particles get separated from the cloth. The general description of this action is that "the centrifugal force throws the water particles away from the drum". Comment on this statement from the viewpoint of an observer rotating with the drum and the observer who is washing the clothes.
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