Motion in a Plane Open
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Question 1 of 25
1. Question
1 point(s)Category: physicsA bob of mass m attached to an inextensible string of length l is suspended from a vertical support. The bob rotates in a horizontal circle with an angular speed ω rad/s about the vertical support. About the point of suspension,
CorrectIncorrect 
Question 2 of 25
2. Question
1 point(s)Category: physicsA particle is moving uniformly in a circular path of radius r. When it moves through an angular displacement θ, then the magnitude of the corresponding linear displacement will be
CorrectIncorrect 
Question 3 of 25
3. Question
1 point(s)Category: physicsA wheel which is initially at rest is subjected to a constant angular acceleration about its axis. It rotates through an angle of 15° in time t sec. The increase in angle through which it rotates in the next 2t sec is
CorrectIncorrect 
Question 4 of 25
4. Question
1 point(s)Category: physicsThe front wheel on an ancient bicycle has radius 0.5 m. It moves with an angular velocity given by the function ω(t) = 2 + 4t^{2} , where t is in sec. About how far does the bicycle move between t = 2 s and t = 3 s?
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Question 5 of 25
5. Question
1 point(s)Category: physicsCorrectIncorrect 
Question 6 of 25
6. Question
1 point(s)Category: physicsA hoop of radius r and mass m rotating with an angular velocity ω_{0} is placed on a rough horizontal surface. The initial velocity of the centre of the hoop is zero. What will be the velocity of the centre of the hoop when it ceases to slip?
CorrectIncorrect 
Question 7 of 25
7. Question
1 point(s)Category: physicsTwo cars of masses m_{1} and m_{2} are moving in circles of radii r_{1} and r_{2} respectively. Their speeds are such that they make complete circles in the same time t. The ratio of their centripetal accelerations is
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Question 8 of 25
8. Question
1 point(s)Category: physicsA cosmonaut is circling the earth in a satellite at 7 km/s at height of 630 km above the surface of the earth. Calculate the centripetal force acting on the cosmonaut of his mass is
(take, R_{e} = 6.37 x 10^{6} m)CorrectIncorrect 
Question 9 of 25
9. Question
1 point(s)Category: physicsWhat is approximately the centripetal acceleration (in ratio of acceleration due to gravity on the earth g =10 m/s^{2}) of an aircraft flying at a speed of 400 m/s through a circular
area of radius 0.6 km?CorrectIncorrect 
Question 10 of 25
10. Question
1 point(s)Category: physicsA ball of mass 0.5 kg is attached to the end of a string having length 0.5 m as shown in figure. The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is 324 N. The maximum possible value of angular velocity of ball (in rad/s) is
CorrectIncorrect 
Question 11 of 25
11. Question
1 point(s)Category: physicsA bridge is in the form of a semicircle of radius 40 m. The greatest speed with which a motor cycle can cross the bridge without leaving the ground at the highest point is (take, g = 10 ms ^{2}) and (frictional force is negligibly small)
CorrectIncorrect 
Question 12 of 25
12. Question
1 point(s)Category: physicsCorrectIncorrect 
Question 13 of 25
13. Question
1 point(s)Category: physicsA particle is moving with a constant speed v in a circle. What is the magnitude of average after half rotation?
CorrectIncorrect 
Question 14 of 25
14. Question
1 point(s)Category: physicsA point P moves in counterclockwise direction on a circular path as shown in the figure. The movement of P is such that it sweeps out a length s = t^{3} + 5, where s is in metre and t is in second. The radius of the path is 20 m. The acceleration of P, when t = 2 s is nearly
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Question 15 of 25
15. Question
1 point(s)Category: physicsFor a particle in uniform circular motion, the acceleration a at a point P(R, θ) on the circle of radius R is (here θ is measured from the X–axis)
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Question 16 of 25
16. Question
1 point(s)Category: physicsA car is circulating on the path of radius r and at any time its velocity is v and rate of increase of velocity is a. The resultant acceleration of the car will be
CorrectIncorrect 
Question 17 of 25
17. Question
1 point(s)Category: physicsIf α is angular acceleration, ω is angular velocity and a is the centripetal acceleration, then which of the following is true ?
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Question 18 of 25
18. Question
1 point(s)Category: physicsIf kinetic energy of the particle of mass m performing UCM in a circle of radius r is E. Find the acceleration of the particle
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Question 19 of 25
19. Question
1 point(s)Category: physicsA particle of mass m is circulating on a circle of radius r having angular momentum L, then the centripetal force will be
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Question 20 of 25
20. Question
1 point(s)Category: physicsThe centripetal acceleration of a body moving in a circle of radius 100 m with a time period of 2 s will be
CorrectIncorrect 
Question 21 of 25
21. Question
1 point(s)Category: physicsGiven that centripetal force
F= – k/r^{2}. The total energy isCorrectIncorrect 
Question 22 of 25
22. Question
1 point(s)Category: physicsA bob of mass M is suspended by a massless string of length L. The horizontal velocity v at position A is just sufficient to make it reach the point B. The angle θ at which the speed of the bob is half of that at A, satisfies
CorrectIncorrect 
Question 23 of 25
23. Question
1 point(s)Category: physicsA roller coaster is designed such that riders experience `weightlessness as they go round the top of a hill whose radius of curvature is
20 m. The speed of the car at the top of the hill is betweenCorrectIncorrect 
Question 24 of 25
24. Question
1 point(s)Category: physicsA particle of mass m is tied to one end of a string of length l and rotated though the other end along a horizontal circular path with speed v. The work done in half horizontal circle is
CorrectIncorrect 
Question 25 of 25
25. Question
1 point(s)Category: physicsA cyclist is travelling on a circualr section of highway of radius 2500 ft at the speed of 60 mile h ^{1}. The cyclist suddenly applies the brakes causing the bicycle to shown down at constant rate. Knowing that after 8s, the speed has been reduced to 45 mile h ^{1}. The acceleration of the bicycle immediately after the brakes have been applied is
CorrectIncorrect