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A disc rotates about its axis with a con...

A disc rotates about its axis with a constant angular acceleration of `4rad/s^2`. Find the radial and tangential acceleration of a particle at a distance of 1 cm from the axis at the end of the first second after the disc starts rotating.

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The correct Answer is:
A, B, C, D

`t=1sec, r=1cm=0.01m`
1alpha=4rad/s^2`
there `omega=alphast=4rad/s`
threfore radial acceleration
`a_n=omega^2r=(4)^2xx0.01`
`=0.16m/s^2=16m/s^2`
Therefore tangential acceleration
`a_T=alphar=0.04m/s^2`
`=4cm/s^2`
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HC VERMA-ROTATIONAL MECHANICS-Exercises
  1. Find the angular velocity of a body rotating with an acceleration of 2...

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  2. A disc of radius 10 cm is rotating about its axis at an angular speed...

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  3. A disc rotates about its axis with a constant angular acceleration of ...

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  4. A block hangs from a string wrapped on a disc of radius 20 cm free to ...

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  5. Three particles, each of mass 200 g are kept at the corners of an equi...

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  6. Particles of masses 1g, 2g, 3g ….100g are kept at the marks 1cm, 2cm, ...

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  7. Find the moment of inertia of a pair of spheres, each having a mass m ...

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  8. The moment of inertia of a uniform rod of mass 0.50 kg and length 1 m ...

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  9. Find the radius of gyration of a circular ring of radius r about a lin...

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  10. The radius of gyration of a uniform disc about a line perpendicular to...

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  11. Find the moment of inertia of a uniform square plate of mass M and edg...

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  12. The surface density (mass/area) of a circular disc of radius a depends...

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  13. A particle of mass m is projected with speed u at an angle theta with ...

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  14. A simple pendulum of length l is pulled aside to make an angle theta w...

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  15. When a force of 6.0 N is exerted at 30^@ to a wrench at a distance of ...

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  16. Calculate the total torque acting on the body shown in figure about th...

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  17. A cubical block of mass M and edge a slides down a rougg inclined plan...

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  18. A rod of mass m and length L , lying horizontally is free to rotate ab...

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  19. A square plate of mass 120g and edge 5.00 cm rotates about one of the ...

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  20. Calculate the torque on the square plate of the previous problem if it...

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