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Show that the area of the parallelogram ...

Show that the area of the parallelogram with diagonals `veca` and `vecb`, is `1/2|vecaxxvecb|`.

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MODERN PUBLICATION-Rotational Motion-Exercise
  1. Define angular momentum. Give its SI unit.

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  2. Show that the angular momentum is equal to twice the product of mass a...

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  3. Show that the area of the parallelogram with diagonals veca and vecb, ...

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  4. Prove that |vecA.vecB|^2 + |vecA xx vecB|^2 = A^2B^2

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  5. Show that (vec A + vec B) xx (vec A - vec B) = 2( vec B xx vec A)

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  6. Given that vecA xx vec B - vec Bxx vec C= vec 0. If vecA, vecB and vec...

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  7. show that the vectors vecA= 2hat i - 3 hat j - hat k and vec B = -6 ha...

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  8. show that the vectors vecA= hat i - 5hat j and vec B = 2 hat i - 10ha...

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  9. show that the vectors vecA=6 hat i + 9 hat j - 12 hat k and vec B = 2 ...

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  10. If vecA= 4 hat i - 5 hat j + 6 hat k and vec B = 3 hat i + 6 hat j - 7...

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  11. A vector vec A has magnitude 6 units and is directed along positive x ...

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  12. find the unit vector perpendicular to each of the vectors vecA= 3 hat ...

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  13. A flywheel rotating at 420 RPM slows down at a constant rate of 2 rad ...

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  14. A constant torque is acting on a wheel. if starting from rest the whee...

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  15. On the application of a constant torque, a wheel is turned from rest t...

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  16. On the application of a constant torque, a wheel is turned from rest t...

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  17. The angular velocity of a wheel increases form 100 rps to 300 rps in 1...

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  18. A grinding stone of radius 2m revolving at 120 rpm accelerates to 660 ...

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  19. A grinding stone of radius 2m revolving at 120 rpm accelerates to 660 ...

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  20. The earth revolves round the sun in an orbit of radius 1.5xx10^11 m on...

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