Numerical's Solution (Circular Motion)

[2076 B] 

A bob of mass $200 \; gm$ is whirled in a horizontal circle of radius $50 \; cm$ by a string inclined at $30^{\circ}$ to the vertical. Calculate the tension in the string and the speed of the bob in the horizontal circle. [Click here for solution]

[2073 S] 

An object of mass $0.5 \; kg$ is rotated in a horizontal circle by a string $1 \; m$ long. The maximum tension in the string before it breaks is $50 \; N$. What is the greatest number of revolutions per second of the object? [Click here for solution]

[2072 D] 

A stone with mass $0.8 \; kg$ is attached to one end of a string $0.9 \; m$ long. The string will break if its tension exceeds $600 \; N$. The stone is whirled in a horizontal circle, the other end of the string remains fixed. Find the maximum speed, the stone can attain without breaking the string. [Click here for solution]

[2072 E] 

A object of mass $4 \; kg$ is whirled round a vertical circle of radius $1 \; m$ with a constant speed of $3 \; m/s$. Calculate the maximum tension in the string. [Click here for solution]

[2071 C] 

A mass of $0.2 \; kg$ is rotated by a string at a constant speed in a vertical circle of radius $1 \; m$. If the minimum tension int he string is $3 \; N$. Calculate the magnitude of the speed and the maximum tension in the string. [Click here for solution]

[2071 D] 

At what angle should a circular road be banked so that a car running at $50 \; km/hr$ be safe to go round the circular turn of $200 \; m$ radius? [Click here for solution]

[2070 C] 

A mass of $1 \; kg$ is attached to the lower end of a string $1 \; m$ long whose upper end is fixed. The mass is made to rotate in a horizontal circle of radius $60 \; m$. If the circular speed of the mass is constant. Find the tension int he string and the period of motion. [Click here for solution]

[2070 D] 

A certain string breaks when a weight of $25 \; N$ acts on it. A mass of $500 \; gm$ is attached to one end of the string of $1 \; m$ long and is rotated in a horizontal in a horizontal circle. Find the greatest number of revolutions per minute which can be made without breaking the string. [Click here for solution]

[2059] 

An object of mass $8 \; kg$ is whirled round in a vertical circle of radius $2 \; m$ with a constant speed of $6 \; m/s$. Calculate the maximum and the minimum tension in the string. [Click here for solution]

[2052] 

A coin placed on a disc rotates with speed of $33 \frac{1}{3}\;rev/min$ provided that the coin is not more than $10 \; cm$ from the axis. Calculate the coefficient of static friction between the coin and the disc. [Click here for solution]

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