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Formation of Solid Shapes

9.Two metalli...

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9.Two metallic cylinder made of same mass material and radii r and 2r are joined as shown in figure.If top end is fixed and lower end of cylinder B twisted by an angle

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Q. Two metallic cylinder made of same material and radii

r

2 r

are joined as shown in figure. If top end is fixed and lower end of cylinder

B

is twisted by angle

θ

, then angle of twist for cylinder

A

is (both cylinder have same length).

Q. Two cylinders A and B of the same material have same length, their radii being in the ratio of

1 : 2

, respectively. The two are joined end to end as shown. The upper end of A is rigidly fixed. The lower end of B is twisted through an angle

θ

, the angle of twist of the cylinder A is

A

B

of same length and made of same material have their radii

R_{1}

R_{2}

respectively. If the rods are rigidly fixed at one end and twisted by the same couple applied at the free end, then what is the ratio

\frac{angle of twist at the end of A}{angle of twist at the end of B}

Q. Two rods A and B of the same material and the same length have radii

r_{1}

r_{2}

, respectively. When they are rigidly fixed at one end and twisted by the same couple applied at the other end the ratio of

{\frac{a n g l e o f t w i s t a t t h e e n d A}{a n g l e o f t w i s t a t t h e e n d B}}

Q. Two rods A and B of the same material and length have their radii

r_{1}

r_{2}

respectively. When they are rigidly fixed at one end and twisted by the same couple applied at the other end, the ratio of the angle of twist at the end of A and the angle of twist at the end of B is

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