Circular Motion
PHXI05:LAWS OF MOTION

363210 A truck is carry a box of mass \(m = 50\,kg\) on its flat horizontal rough surface with coefficient of friction \(\mu = 0.3\). It is crossing a circular track of radius 27 \(m\). What is the maximum speed of the truck so that the box does not slide from the truck while moving on the circular path?
supporting img

1 \(18\,km/hr\)
2 \(36\,km/hr\)
3 \(32.4\,km/hr\)
4 \({\rm{None }}\,{\rm{of }}\,{\rm{these}}\)
PHXI05:LAWS OF MOTION

363211 A circular race track of radius \(300\;\,m\) is banked at an angle of \(15^{\circ}\). If the coefficient of friction between the wheels of the race car and the road is 0.2 . Find optimum speed of the race car to avoid wear and tear on its tyres and maximum permissible speed to avoid slipping.

1 \({v_o} = 48\;m{s^{ - 1}}\) and \({v_{\max }} = 60\;m{s^{ - 1}}\)
2 \({v_o} = 28.1\;m{s^{ - 1}}\) and \({v_{\max }} = 38.1\;m{s^{ - 1}}\)
3 \({v_o} = 62.2\;m{s^{ - 1}}\) and \({v_{\max }} = 73.4\;m{s^{ - 1}}\)
4 None of the above
PHXI05:LAWS OF MOTION

363212 A car of mass \(800\,kg\) is taking turn on a banked road of radius \(300\,m\) and angle of banking \(30^{\circ}\). If coefficient of static friction is 0.2 then the maximum speed with which car can negotiate the turn safely \(\left( {g = 10\;m/{s^2},\sqrt 3 = 1.73} \right)\)

1 \(51.4\;m/s\)
2 \(70.4\;m/s\)
3 \(264\;m/s\)
4 \(102.8\;m/s\)
PHXI05:LAWS OF MOTION

363213 A car sometimes overturns while taking a turn. When it overturns, it is:

1 The inner wheel which leaves the ground first
2 The outer wheel which leaves the ground first
3 Both the wheels leave the ground simultaneously
4 Either wheel which leaves the ground first
PHXI05:LAWS OF MOTION

363210 A truck is carry a box of mass \(m = 50\,kg\) on its flat horizontal rough surface with coefficient of friction \(\mu = 0.3\). It is crossing a circular track of radius 27 \(m\). What is the maximum speed of the truck so that the box does not slide from the truck while moving on the circular path?
supporting img

1 \(18\,km/hr\)
2 \(36\,km/hr\)
3 \(32.4\,km/hr\)
4 \({\rm{None }}\,{\rm{of }}\,{\rm{these}}\)
PHXI05:LAWS OF MOTION

363211 A circular race track of radius \(300\;\,m\) is banked at an angle of \(15^{\circ}\). If the coefficient of friction between the wheels of the race car and the road is 0.2 . Find optimum speed of the race car to avoid wear and tear on its tyres and maximum permissible speed to avoid slipping.

1 \({v_o} = 48\;m{s^{ - 1}}\) and \({v_{\max }} = 60\;m{s^{ - 1}}\)
2 \({v_o} = 28.1\;m{s^{ - 1}}\) and \({v_{\max }} = 38.1\;m{s^{ - 1}}\)
3 \({v_o} = 62.2\;m{s^{ - 1}}\) and \({v_{\max }} = 73.4\;m{s^{ - 1}}\)
4 None of the above
PHXI05:LAWS OF MOTION

363212 A car of mass \(800\,kg\) is taking turn on a banked road of radius \(300\,m\) and angle of banking \(30^{\circ}\). If coefficient of static friction is 0.2 then the maximum speed with which car can negotiate the turn safely \(\left( {g = 10\;m/{s^2},\sqrt 3 = 1.73} \right)\)

1 \(51.4\;m/s\)
2 \(70.4\;m/s\)
3 \(264\;m/s\)
4 \(102.8\;m/s\)
PHXI05:LAWS OF MOTION

363213 A car sometimes overturns while taking a turn. When it overturns, it is:

1 The inner wheel which leaves the ground first
2 The outer wheel which leaves the ground first
3 Both the wheels leave the ground simultaneously
4 Either wheel which leaves the ground first
PHXI05:LAWS OF MOTION

363210 A truck is carry a box of mass \(m = 50\,kg\) on its flat horizontal rough surface with coefficient of friction \(\mu = 0.3\). It is crossing a circular track of radius 27 \(m\). What is the maximum speed of the truck so that the box does not slide from the truck while moving on the circular path?
supporting img

1 \(18\,km/hr\)
2 \(36\,km/hr\)
3 \(32.4\,km/hr\)
4 \({\rm{None }}\,{\rm{of }}\,{\rm{these}}\)
PHXI05:LAWS OF MOTION

363211 A circular race track of radius \(300\;\,m\) is banked at an angle of \(15^{\circ}\). If the coefficient of friction between the wheels of the race car and the road is 0.2 . Find optimum speed of the race car to avoid wear and tear on its tyres and maximum permissible speed to avoid slipping.

1 \({v_o} = 48\;m{s^{ - 1}}\) and \({v_{\max }} = 60\;m{s^{ - 1}}\)
2 \({v_o} = 28.1\;m{s^{ - 1}}\) and \({v_{\max }} = 38.1\;m{s^{ - 1}}\)
3 \({v_o} = 62.2\;m{s^{ - 1}}\) and \({v_{\max }} = 73.4\;m{s^{ - 1}}\)
4 None of the above
PHXI05:LAWS OF MOTION

363212 A car of mass \(800\,kg\) is taking turn on a banked road of radius \(300\,m\) and angle of banking \(30^{\circ}\). If coefficient of static friction is 0.2 then the maximum speed with which car can negotiate the turn safely \(\left( {g = 10\;m/{s^2},\sqrt 3 = 1.73} \right)\)

1 \(51.4\;m/s\)
2 \(70.4\;m/s\)
3 \(264\;m/s\)
4 \(102.8\;m/s\)
PHXI05:LAWS OF MOTION

363213 A car sometimes overturns while taking a turn. When it overturns, it is:

1 The inner wheel which leaves the ground first
2 The outer wheel which leaves the ground first
3 Both the wheels leave the ground simultaneously
4 Either wheel which leaves the ground first
PHXI05:LAWS OF MOTION

363210 A truck is carry a box of mass \(m = 50\,kg\) on its flat horizontal rough surface with coefficient of friction \(\mu = 0.3\). It is crossing a circular track of radius 27 \(m\). What is the maximum speed of the truck so that the box does not slide from the truck while moving on the circular path?
supporting img

1 \(18\,km/hr\)
2 \(36\,km/hr\)
3 \(32.4\,km/hr\)
4 \({\rm{None }}\,{\rm{of }}\,{\rm{these}}\)
PHXI05:LAWS OF MOTION

363211 A circular race track of radius \(300\;\,m\) is banked at an angle of \(15^{\circ}\). If the coefficient of friction between the wheels of the race car and the road is 0.2 . Find optimum speed of the race car to avoid wear and tear on its tyres and maximum permissible speed to avoid slipping.

1 \({v_o} = 48\;m{s^{ - 1}}\) and \({v_{\max }} = 60\;m{s^{ - 1}}\)
2 \({v_o} = 28.1\;m{s^{ - 1}}\) and \({v_{\max }} = 38.1\;m{s^{ - 1}}\)
3 \({v_o} = 62.2\;m{s^{ - 1}}\) and \({v_{\max }} = 73.4\;m{s^{ - 1}}\)
4 None of the above
PHXI05:LAWS OF MOTION

363212 A car of mass \(800\,kg\) is taking turn on a banked road of radius \(300\,m\) and angle of banking \(30^{\circ}\). If coefficient of static friction is 0.2 then the maximum speed with which car can negotiate the turn safely \(\left( {g = 10\;m/{s^2},\sqrt 3 = 1.73} \right)\)

1 \(51.4\;m/s\)
2 \(70.4\;m/s\)
3 \(264\;m/s\)
4 \(102.8\;m/s\)
PHXI05:LAWS OF MOTION

363213 A car sometimes overturns while taking a turn. When it overturns, it is:

1 The inner wheel which leaves the ground first
2 The outer wheel which leaves the ground first
3 Both the wheels leave the ground simultaneously
4 Either wheel which leaves the ground first