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.
Question types
Circular Motion question types
37 questions across 5 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.
37
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Question groups
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1 Marks Question
3 Q→022 Marks Questions
8 Q→033 Marks Question
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5 Q→055 Marks Questions
8 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.
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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?
Is it necessary to express all angles in radian while using the equation $\omega=\omega_0+\text{at}?$
View full solution →A circular road of radius 50m has the angle of banking equal to 30°. At what speed should a vehicle go on this road so that the friction is not used?
A park has a radius of 10m. If a vehicle goes round it at an average speed of 18km/ hr, what should be the proper angle of banking?
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.
Find the acceleration of the moon with respect to the earth from the following data:
Distance between the earth and the moon $= 3.85 \times 10^5\ km$ and the time taken by the moon to complete one revolution around the earth $= 27.3$ days.
View full solution →Distance between the earth and the moon $= 3.85 \times 10^5\ km$ and the time taken by the moon to complete one revolution around the earth $= 27.3$ days.
If the horizontal force needed for the turn in the previous problem is to be supplied by the normal force by the road, what should be the proper angle of banking?
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?
Find the acceleration of a particle placed on the surface of the earth at the equator due to earth's rotation. The diameter of earth = 12800km and it takes 24 hours for the earth to complete one revolution about its axis.
In the Bohr model of hydrogen atom, the electron is treated as a particle going in a circle with the centre at the proton. The proton it self is assumed to be fixed in an inertial frame. The centripetal force is provided by the Coloumb attraction. In the ground state, the electron goes round the proton in a circle of radius $5.3 \times 10^{-11}m.$ Find the speed of the electron in the ground state. Mass of the electron $= 9.1 \times 10^{-31}kg$ and charge of the electron $= 1.6 \times 10^{-19}C.$
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?
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.
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 →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?
A turn of radius 20m is banked for the vehicles going at a speed of 36 km/h. If the coefficient of static friction between the road and the tyre is 0.4, what are the possible speeds of a vehicle so that it neither slips down nor skids up?
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 track consists of two circular parts $\text{ABC}$ and $\text{CDE}$ of equal radius $100m$ and joined smoothly as shown in figure. Each part subtends a right angle at its centre. A cycle weighing $100 \ kg$ together with the rider travels at a constant speed of $18\ km/h$ on the track.
View full solution →- Find the normal contact force by the road on the cycle when it is at $B$ and at $D.$
- Find the force of friction exerted by the track on the tyres when the cycle is at $B, C$ and $D.$
- Find the normal force between the road and the cycle just before and just after the cycle crosses $C.$
- What should be the minimum friction coefficient between the road and the tyre, which will ensure that the cyclist can move with constant speed? Take $g= 10m/s^2.$
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 block of mass m is kept on a horizontal ruler. The friction coefficient between the ruler and the block is g. The ruler is fixed at one end and the block is at a distance L from the fixed end. The ruler is rotated about the fixed end in the horizontal plane through the fixed end.
View full solution →- What can the maximum angular speed be for which the block does not slip?
- If the angular speed of the ruler is uniformly increased from zero at an angular acceleration $\alpha,$ at what angular speed will the block slip?
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