04. Circular Motion : Uniform Circular Motion, Dynamic Circular Motion
Motion in Plane

144015 A stone tied to a string is rotated in a vertical circle. The minimum speed with which the string has to be rotated

1 decreases with increasing mass of the stone
2 is independent of the mass of the stone
3 decreases with increasing in length of the string
4 is independent of the length of the string
Motion in Plane

144016 A car is moving on a circular level road of curvature \(300 \mathrm{~m}\). If the coefficient of friction is 0.3 and acceleration due to gravity \(10 \mathrm{~ms}^{-2}\), the maximum speed that car can have is

1 \(30 \mathrm{kmh}^{-1}\)
2 \(81 \mathrm{kmh}^{-1}\)
3 \(108 \mathrm{kmh}^{-1}\)
4 \(162 \mathrm{kmh}^{-1}\)
Motion in Plane

144017 A body is thrown vertically upwards with an initial velocity \(u\) reaches maximum height in 6 sec. The ratio of distance travelled by the body in the first and seventh second is

1 \(1: 1\)
2 \(11: 1\)
3 \(1: 2\)
4 \(1: 11\)
Motion in Plane

144018 A body of mass \(M \mathrm{~kg}\) is on the top point of a smooth hemisphere of radius \(5 \mathrm{~m}\). It is released to slide down the surface of the hemisphere. It leaves the surface when velocity is \(5 \mathrm{~ms}^{-1}\). At this instant the angle made by the radius vector of the body with the vertical is (acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\) )

1 \(30^{\circ}\)
2 \(45^{\circ}\)
3 \(60^{\circ}\)
4 \(90^{\circ}\)
Motion in Plane

144019 A bucket filled with water is tied to a rope of length \(0.5 \mathrm{~m}\) and is rotated in a circular path in vertical plane. The least velocity it should have at the lowest point of circle so that water does not spill is, \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

1 \(\sqrt{5} \mathrm{~ms}^{-1}\)
2 \(\sqrt{10} \mathrm{~ms}^{-1}\)
3 \(5 \mathrm{~ms}^{-1}\)
4 \(2 \sqrt{5} \mathrm{~ms}^{-1}\)
Motion in Plane

144015 A stone tied to a string is rotated in a vertical circle. The minimum speed with which the string has to be rotated

1 decreases with increasing mass of the stone
2 is independent of the mass of the stone
3 decreases with increasing in length of the string
4 is independent of the length of the string
Motion in Plane

144016 A car is moving on a circular level road of curvature \(300 \mathrm{~m}\). If the coefficient of friction is 0.3 and acceleration due to gravity \(10 \mathrm{~ms}^{-2}\), the maximum speed that car can have is

1 \(30 \mathrm{kmh}^{-1}\)
2 \(81 \mathrm{kmh}^{-1}\)
3 \(108 \mathrm{kmh}^{-1}\)
4 \(162 \mathrm{kmh}^{-1}\)
Motion in Plane

144017 A body is thrown vertically upwards with an initial velocity \(u\) reaches maximum height in 6 sec. The ratio of distance travelled by the body in the first and seventh second is

1 \(1: 1\)
2 \(11: 1\)
3 \(1: 2\)
4 \(1: 11\)
Motion in Plane

144018 A body of mass \(M \mathrm{~kg}\) is on the top point of a smooth hemisphere of radius \(5 \mathrm{~m}\). It is released to slide down the surface of the hemisphere. It leaves the surface when velocity is \(5 \mathrm{~ms}^{-1}\). At this instant the angle made by the radius vector of the body with the vertical is (acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\) )

1 \(30^{\circ}\)
2 \(45^{\circ}\)
3 \(60^{\circ}\)
4 \(90^{\circ}\)
Motion in Plane

144019 A bucket filled with water is tied to a rope of length \(0.5 \mathrm{~m}\) and is rotated in a circular path in vertical plane. The least velocity it should have at the lowest point of circle so that water does not spill is, \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

1 \(\sqrt{5} \mathrm{~ms}^{-1}\)
2 \(\sqrt{10} \mathrm{~ms}^{-1}\)
3 \(5 \mathrm{~ms}^{-1}\)
4 \(2 \sqrt{5} \mathrm{~ms}^{-1}\)
Motion in Plane

144015 A stone tied to a string is rotated in a vertical circle. The minimum speed with which the string has to be rotated

1 decreases with increasing mass of the stone
2 is independent of the mass of the stone
3 decreases with increasing in length of the string
4 is independent of the length of the string
Motion in Plane

144016 A car is moving on a circular level road of curvature \(300 \mathrm{~m}\). If the coefficient of friction is 0.3 and acceleration due to gravity \(10 \mathrm{~ms}^{-2}\), the maximum speed that car can have is

1 \(30 \mathrm{kmh}^{-1}\)
2 \(81 \mathrm{kmh}^{-1}\)
3 \(108 \mathrm{kmh}^{-1}\)
4 \(162 \mathrm{kmh}^{-1}\)
Motion in Plane

144017 A body is thrown vertically upwards with an initial velocity \(u\) reaches maximum height in 6 sec. The ratio of distance travelled by the body in the first and seventh second is

1 \(1: 1\)
2 \(11: 1\)
3 \(1: 2\)
4 \(1: 11\)
Motion in Plane

144018 A body of mass \(M \mathrm{~kg}\) is on the top point of a smooth hemisphere of radius \(5 \mathrm{~m}\). It is released to slide down the surface of the hemisphere. It leaves the surface when velocity is \(5 \mathrm{~ms}^{-1}\). At this instant the angle made by the radius vector of the body with the vertical is (acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\) )

1 \(30^{\circ}\)
2 \(45^{\circ}\)
3 \(60^{\circ}\)
4 \(90^{\circ}\)
Motion in Plane

144019 A bucket filled with water is tied to a rope of length \(0.5 \mathrm{~m}\) and is rotated in a circular path in vertical plane. The least velocity it should have at the lowest point of circle so that water does not spill is, \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

1 \(\sqrt{5} \mathrm{~ms}^{-1}\)
2 \(\sqrt{10} \mathrm{~ms}^{-1}\)
3 \(5 \mathrm{~ms}^{-1}\)
4 \(2 \sqrt{5} \mathrm{~ms}^{-1}\)
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Motion in Plane

144015 A stone tied to a string is rotated in a vertical circle. The minimum speed with which the string has to be rotated

1 decreases with increasing mass of the stone
2 is independent of the mass of the stone
3 decreases with increasing in length of the string
4 is independent of the length of the string
Motion in Plane

144016 A car is moving on a circular level road of curvature \(300 \mathrm{~m}\). If the coefficient of friction is 0.3 and acceleration due to gravity \(10 \mathrm{~ms}^{-2}\), the maximum speed that car can have is

1 \(30 \mathrm{kmh}^{-1}\)
2 \(81 \mathrm{kmh}^{-1}\)
3 \(108 \mathrm{kmh}^{-1}\)
4 \(162 \mathrm{kmh}^{-1}\)
Motion in Plane

144017 A body is thrown vertically upwards with an initial velocity \(u\) reaches maximum height in 6 sec. The ratio of distance travelled by the body in the first and seventh second is

1 \(1: 1\)
2 \(11: 1\)
3 \(1: 2\)
4 \(1: 11\)
Motion in Plane

144018 A body of mass \(M \mathrm{~kg}\) is on the top point of a smooth hemisphere of radius \(5 \mathrm{~m}\). It is released to slide down the surface of the hemisphere. It leaves the surface when velocity is \(5 \mathrm{~ms}^{-1}\). At this instant the angle made by the radius vector of the body with the vertical is (acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\) )

1 \(30^{\circ}\)
2 \(45^{\circ}\)
3 \(60^{\circ}\)
4 \(90^{\circ}\)
Motion in Plane

144019 A bucket filled with water is tied to a rope of length \(0.5 \mathrm{~m}\) and is rotated in a circular path in vertical plane. The least velocity it should have at the lowest point of circle so that water does not spill is, \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

1 \(\sqrt{5} \mathrm{~ms}^{-1}\)
2 \(\sqrt{10} \mathrm{~ms}^{-1}\)
3 \(5 \mathrm{~ms}^{-1}\)
4 \(2 \sqrt{5} \mathrm{~ms}^{-1}\)
Motion in Plane

144015 A stone tied to a string is rotated in a vertical circle. The minimum speed with which the string has to be rotated

1 decreases with increasing mass of the stone
2 is independent of the mass of the stone
3 decreases with increasing in length of the string
4 is independent of the length of the string
Motion in Plane

144016 A car is moving on a circular level road of curvature \(300 \mathrm{~m}\). If the coefficient of friction is 0.3 and acceleration due to gravity \(10 \mathrm{~ms}^{-2}\), the maximum speed that car can have is

1 \(30 \mathrm{kmh}^{-1}\)
2 \(81 \mathrm{kmh}^{-1}\)
3 \(108 \mathrm{kmh}^{-1}\)
4 \(162 \mathrm{kmh}^{-1}\)
Motion in Plane

144017 A body is thrown vertically upwards with an initial velocity \(u\) reaches maximum height in 6 sec. The ratio of distance travelled by the body in the first and seventh second is

1 \(1: 1\)
2 \(11: 1\)
3 \(1: 2\)
4 \(1: 11\)
Motion in Plane

144018 A body of mass \(M \mathrm{~kg}\) is on the top point of a smooth hemisphere of radius \(5 \mathrm{~m}\). It is released to slide down the surface of the hemisphere. It leaves the surface when velocity is \(5 \mathrm{~ms}^{-1}\). At this instant the angle made by the radius vector of the body with the vertical is (acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\) )

1 \(30^{\circ}\)
2 \(45^{\circ}\)
3 \(60^{\circ}\)
4 \(90^{\circ}\)
Motion in Plane

144019 A bucket filled with water is tied to a rope of length \(0.5 \mathrm{~m}\) and is rotated in a circular path in vertical plane. The least velocity it should have at the lowest point of circle so that water does not spill is, \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

1 \(\sqrt{5} \mathrm{~ms}^{-1}\)
2 \(\sqrt{10} \mathrm{~ms}^{-1}\)
3 \(5 \mathrm{~ms}^{-1}\)
4 \(2 \sqrt{5} \mathrm{~ms}^{-1}\)