UNIFORM CIRCULAR MOTION
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Laws of Motion

270295 A particle of mass\(m\) is suspended from the ceiling through a string of length \(L\). The particle moves in a horizontal circle of radius \(r\). The speed of the particle is

1 \(\frac{r g}{\sqrt{L^{2}-r^{2}}}\)
2 \(\frac{r \sqrt{g}}{\left(L^{2}-r^{2}\right)^{\frac{1}{4}}}\)
3 \(\frac{r \sqrt{g}}{\left(L^{2}-r^{2}\right)^{\frac{1}{2}}}\)
4 \(\frac{m g L}{\left(L^{2}-r^{2}\right)^{\frac{1}{2}}}\)
Laws of Motion

270296 Three point masses each of mass\(m\) are joined together using a string to form an equilateral triangle of side \(a\). The system is placed on a smooth horizontal surface and rotated with a constant angular velocity \(\omega\) about a vertical axis passing through the centroid. Then the tension in each string is

1 \(m a \omega^{2}\)
2 \(3 m a \omega^{2}\)
3 \(\frac{m a \omega^{2}}{3}\)
4 \(\frac{m a \omega^{2}}{\sqrt{3}}\)
Laws of Motion

270349 A disc rotates at\(60 \mathrm{rev} / \mathrm{min}\) around a vertical axis. A body lies on the disc at the distance of \(20 \mathrm{~cm}\) from the axis of rotation. What should be the minimum value of coefficient of friction between the body and the disc, so that the body will not slide off the disc

1 \(8 \pi^{2}\)
2 \(0.8 \pi^{2}\)
3 \(0.08 \pi^{2}\)
4 \(0.008 \pi^{2}\)
Laws of Motion

270350 A car is moving on a circular level road of radius of curvature\(300 \mathrm{~m}\). If the coefficient of friction is 0.3 and acceleration due to gravity is \(\quad 10 \mathrm{~m} / \mathrm{s}^{2}\). The maximum speed the car can have is

1 \(30 \mathrm{~km} / \mathrm{h}\)
2 \(81 \mathrm{~km} / \mathrm{h}\)
3 \(108 \mathrm{~km} / \mathrm{h}\)
4 \(162 \mathrm{~km} / \mathrm{h}\)
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Laws of Motion

270295 A particle of mass\(m\) is suspended from the ceiling through a string of length \(L\). The particle moves in a horizontal circle of radius \(r\). The speed of the particle is

1 \(\frac{r g}{\sqrt{L^{2}-r^{2}}}\)
2 \(\frac{r \sqrt{g}}{\left(L^{2}-r^{2}\right)^{\frac{1}{4}}}\)
3 \(\frac{r \sqrt{g}}{\left(L^{2}-r^{2}\right)^{\frac{1}{2}}}\)
4 \(\frac{m g L}{\left(L^{2}-r^{2}\right)^{\frac{1}{2}}}\)
Laws of Motion

270296 Three point masses each of mass\(m\) are joined together using a string to form an equilateral triangle of side \(a\). The system is placed on a smooth horizontal surface and rotated with a constant angular velocity \(\omega\) about a vertical axis passing through the centroid. Then the tension in each string is

1 \(m a \omega^{2}\)
2 \(3 m a \omega^{2}\)
3 \(\frac{m a \omega^{2}}{3}\)
4 \(\frac{m a \omega^{2}}{\sqrt{3}}\)
Laws of Motion

270349 A disc rotates at\(60 \mathrm{rev} / \mathrm{min}\) around a vertical axis. A body lies on the disc at the distance of \(20 \mathrm{~cm}\) from the axis of rotation. What should be the minimum value of coefficient of friction between the body and the disc, so that the body will not slide off the disc

1 \(8 \pi^{2}\)
2 \(0.8 \pi^{2}\)
3 \(0.08 \pi^{2}\)
4 \(0.008 \pi^{2}\)
Laws of Motion

270350 A car is moving on a circular level road of radius of curvature\(300 \mathrm{~m}\). If the coefficient of friction is 0.3 and acceleration due to gravity is \(\quad 10 \mathrm{~m} / \mathrm{s}^{2}\). The maximum speed the car can have is

1 \(30 \mathrm{~km} / \mathrm{h}\)
2 \(81 \mathrm{~km} / \mathrm{h}\)
3 \(108 \mathrm{~km} / \mathrm{h}\)
4 \(162 \mathrm{~km} / \mathrm{h}\)
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Laws of Motion

270295 A particle of mass\(m\) is suspended from the ceiling through a string of length \(L\). The particle moves in a horizontal circle of radius \(r\). The speed of the particle is

1 \(\frac{r g}{\sqrt{L^{2}-r^{2}}}\)
2 \(\frac{r \sqrt{g}}{\left(L^{2}-r^{2}\right)^{\frac{1}{4}}}\)
3 \(\frac{r \sqrt{g}}{\left(L^{2}-r^{2}\right)^{\frac{1}{2}}}\)
4 \(\frac{m g L}{\left(L^{2}-r^{2}\right)^{\frac{1}{2}}}\)
Laws of Motion

270296 Three point masses each of mass\(m\) are joined together using a string to form an equilateral triangle of side \(a\). The system is placed on a smooth horizontal surface and rotated with a constant angular velocity \(\omega\) about a vertical axis passing through the centroid. Then the tension in each string is

1 \(m a \omega^{2}\)
2 \(3 m a \omega^{2}\)
3 \(\frac{m a \omega^{2}}{3}\)
4 \(\frac{m a \omega^{2}}{\sqrt{3}}\)
Laws of Motion

270349 A disc rotates at\(60 \mathrm{rev} / \mathrm{min}\) around a vertical axis. A body lies on the disc at the distance of \(20 \mathrm{~cm}\) from the axis of rotation. What should be the minimum value of coefficient of friction between the body and the disc, so that the body will not slide off the disc

1 \(8 \pi^{2}\)
2 \(0.8 \pi^{2}\)
3 \(0.08 \pi^{2}\)
4 \(0.008 \pi^{2}\)
Laws of Motion

270350 A car is moving on a circular level road of radius of curvature\(300 \mathrm{~m}\). If the coefficient of friction is 0.3 and acceleration due to gravity is \(\quad 10 \mathrm{~m} / \mathrm{s}^{2}\). The maximum speed the car can have is

1 \(30 \mathrm{~km} / \mathrm{h}\)
2 \(81 \mathrm{~km} / \mathrm{h}\)
3 \(108 \mathrm{~km} / \mathrm{h}\)
4 \(162 \mathrm{~km} / \mathrm{h}\)
For More Updates join with Us
Laws of Motion

270295 A particle of mass\(m\) is suspended from the ceiling through a string of length \(L\). The particle moves in a horizontal circle of radius \(r\). The speed of the particle is

1 \(\frac{r g}{\sqrt{L^{2}-r^{2}}}\)
2 \(\frac{r \sqrt{g}}{\left(L^{2}-r^{2}\right)^{\frac{1}{4}}}\)
3 \(\frac{r \sqrt{g}}{\left(L^{2}-r^{2}\right)^{\frac{1}{2}}}\)
4 \(\frac{m g L}{\left(L^{2}-r^{2}\right)^{\frac{1}{2}}}\)
Laws of Motion

270296 Three point masses each of mass\(m\) are joined together using a string to form an equilateral triangle of side \(a\). The system is placed on a smooth horizontal surface and rotated with a constant angular velocity \(\omega\) about a vertical axis passing through the centroid. Then the tension in each string is

1 \(m a \omega^{2}\)
2 \(3 m a \omega^{2}\)
3 \(\frac{m a \omega^{2}}{3}\)
4 \(\frac{m a \omega^{2}}{\sqrt{3}}\)
Laws of Motion

270349 A disc rotates at\(60 \mathrm{rev} / \mathrm{min}\) around a vertical axis. A body lies on the disc at the distance of \(20 \mathrm{~cm}\) from the axis of rotation. What should be the minimum value of coefficient of friction between the body and the disc, so that the body will not slide off the disc

1 \(8 \pi^{2}\)
2 \(0.8 \pi^{2}\)
3 \(0.08 \pi^{2}\)
4 \(0.008 \pi^{2}\)
Laws of Motion

270350 A car is moving on a circular level road of radius of curvature\(300 \mathrm{~m}\). If the coefficient of friction is 0.3 and acceleration due to gravity is \(\quad 10 \mathrm{~m} / \mathrm{s}^{2}\). The maximum speed the car can have is

1 \(30 \mathrm{~km} / \mathrm{h}\)
2 \(81 \mathrm{~km} / \mathrm{h}\)
3 \(108 \mathrm{~km} / \mathrm{h}\)
4 \(162 \mathrm{~km} / \mathrm{h}\)
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