ABC is a right angled triangular plate of uniform thickness. The sides are such that AB > BC as shown in figure. I_{1} , I_{2}, I_{3} are moments of inertia about AB, BC and AC respectively. Then which of the following relations is correct ?

(A) I_{1} = I_{2} = I_{3}

(B) I_{2} > I_{1} > I_{3}

(C)I_{3} < I_{2} < I_{1}

(D) I_{3} > I_{1} > I_{2}

Question-2

O is the centre of an equilateral triangle ABC. F_{1}, F_{2} and F_{3} are three forces acting along the side AB, BC and AC as shown in figure. What should be the magnitude of F_{3}. So that the total torque about O is zero ?

(A)

^{( F1 + F2 )} /_{2}

(B)

( F_{1} - F_{2} )

(C)

(F_{1} + F_{2} )

(D)

2 (F_{1} + F_{2} )

Question-3

A ball of mass 0.25 kg attached to the end of a string of length 1.96 m is moving in a horizontal circle. The string will break if the tension is more than 25 N. What is the maximum speed with which the ball can be moved ?

(A) 14 m/s

(B)3 m/s

(C)3.92 m/s

(D)5 m/s

Question-4

A weightless ladder 20 ft long rests against a frictionless wall at an angle of 60^{o} from the horizontal. A 150 pound man is 4 ft from the top of the ladder . A horizontal force needed to keep it form slipping. Choose the correct magnitude of force from the following.?

(A) 17.3 pound

(B)100 pound

(C)120 pound

(D)150 pound

Question-5

A disc is rotating with angular velocity ω. If a child sits on it, what is conserved?

(A) Linear momentum

(B)Angular momentum

(C)Kinetic energy

(D)Moment of inertia

Question-6

Two racing cars of masses m and 4m are moving in circles of radii r and 2r respectively. If their speeds are such that each makes a complete circle in the same time. Then the ratio of the angular speeds of the first to the second car is

(A) 8: 1

(B)4 : 1

(C)2 :1

(D)1 : 1

Question-7

A particle of mass M is revolving along a circle of radius R and another particle of mass m is revolving in a circle of radius r. If time periods of both particles are same, then the ratio of their angular velocities is

(A) 1

(B)^{R}/_{r}

(C)^{r}/_{R}

(D)

Question-8

The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axis in the plane of the ring is

(A) 2 : 3

(B)2 : 1

(C)√5 : √6

(D)1 : √2

Question-9

A thin uniform circular ring is rolling down an inclined plane of inclination 30o without slipping. Its linear acceleration along the inclined plane will be :

(A)^{g}/_{2}

(B)^{g}/_{3}

(C)^{g}/_{4}

(D)^{2g}/_{3}

Question-10

A spherical ball rolls on a table without slipping. Then the fraction of its total energy associated with rotation is

(A)

^{2}/_{5}

(B)

^{5}/_{7}

(C)

^{3}/_{5}

(D)

^{3}/_{7}

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