## Solution Search

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August 4, 2021
• Abhigyan Martin Ninama
September 8, 2017

## . : "Circular Motion"

### Circular Motion

(Requested by Tricky Bits)

Q- A wheel 1.9 m in diameter lies in a vertical plane and rotates about its central axis with a constant angular acceleration of 4.15 rad/s2. The wheel starts from rest at t = 0, and the radius vector of a certain point P on the rim makes an angle of 57.3o with the hori…

### Circular motion: Rolling of a wheel

Q- The position vector of a particle moving on the rim of a rolling wheel in the x-y plane is given by

r = (10t + 5 cos 2t) i + (5 - 5 sin 2t) j, here r is in meters and t is in seconds. i and j are unit vectors in x and y directions respectively.

(a) What are the velocity and speed of the parti…

### Circular Motion: Banking of Road

Q- A car travels around a flat curved road with constant speed.

(a) Draw Free body diagram for the car.

(b) What is direction of net force acting on the car?

(c) Is there a maximum speed to negotiate the curve? If so find an expression for it.

(d) If the road is banked, derived an expression for…

### Circular Motion

Q- A space station, in the form of a wheel 120m in diameter, rotates to provide an "artificial gravity" of 3.00m/s2 for person's who walk around on the inner wall of the outer rim. Find the rate of rotation of the wheel (in revolutions per minute) that will produce this effect.

Solution:

### Circular Motion

Q- A car accelerates uniformly from rest and reaches a speed 20.0 m/s in 10.0 s. The tires have diameter 60.0 cm and do not slip on the pavement.

(a) Find the number of revolutions each tire makes during this motion.

(b) What is the final angular speed of a tire in revolutions per second?

Sol…

### Roller Coaster

Q- A roller coaster car has a mass of 500kg when fully loaded with passengers. The radius of the coaster is 10m.

(a) If the vehicle has a speed of 20.0 m/s at the lowest point, what is the force exerted by the track on the car at this point?

(b) What is the maximum speed the vehicle at the hig…

### Circular Motion

Q- A curve in a road forms part of a horizontal circle. As a car goes around it at a constant speed 14.0 m/s, the total force on the driver has magnitude 130N. What is the total vector force on the driver if the speed is 18.0 m/s instead?

Solution:

### Circular Motion: Clock

Q- A 24-hour military clock has hour markings from 0 to 23. If the hands on this clock coincide at 00:00:00 (hours:minutes:seconds), determine the time when the hour and minute hands coincide again.

Solution:

### Circular Motion

Q1- A car moving at a speed of 35 m/s enters a curve that describes a quarter turn of radius 125 m. The driver gently applies the brakes, giving a constant tangential deceleration of magnitude 1.2 m/s2.

a) Just before emerging from the turn, what is the magnitude of the car's acceleration?

b) …

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