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Show that vector bar A = 2hati - 3hatj +...

Show that vector `bar A = 2hati - 3hatj + 4 hatk` and `bar B = 6hati -9hatj + 12hatk` are parallel.

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If the vectors veca = 3 hati + 2hatj + 9 hatk and vecb = hati + lambda hatj + 3hatk are parallel vectors what is the value of lambda ?

What is unit vector along 2 hati - 3hatj +6 hatk ?

What is the angle between vectors veca = hati - hatj + hatk and vecb = hati + hatj - hatk ?

What is the projection of veca = 2hati - hatj + hatk on vec b = hati - 2hatj +hatk ?

The vectors veca = 3hati + x hatj - hatk and vecb = 2hati + hatj + gamma hatk are mutually perpendiculars. Given that |veca | = |vecb | find the values of x and y .

Find the work done in moving a particle along a vector barS = (4hati - hatj + 7hatk) m if applied ofrce (barF = (hati + 2hatj - hatk) N.

Find unit vectors perpendicular to the vectors 2hati - 3hatj + 4hatk and 4hati - hatj - 2hatk .

Find the angle between the vector 2 hati+ 3hatj+ hatk and 2 hati - hatj- hatk .

Find lambda if the vectors veca = 2hati - hatj+ hatk , vecb = hati + 2hatj - 3hatk and vecc =3 hati + lambdahatj+5 hatk are coplanar.

BINA LIBRARY-SYSTEM OF PARTICLES AND ROTATIONAL MOTION-EXERCISE
  1. Show that vector bar A = 2hati - 3hatj + 4 hatk and bar B = 6hati -9ha...

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  2. Define torque. State its dimensions.

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  3. What is the role of MI in rotational motion?

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  4. What is radius of gyration? It is a constant quantity?

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  5. What do you mean by angular momentum.

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  6. What is KE of rotation of rigid body ?

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  7. Express torque in terms of moment of inertia.

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  8. Express angular momentum of a system of particles in term of M.I.

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  9. Name the physical quantity which has the same meaning as momentum.

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  10. Name the physical quantity which has the same meaning as rate of chang...

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  11. Establish the principle of conservation of angular momentum.

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  12. Show that the rate of change of angular momentum is proportional to th...

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  13. Find an expression for the total kinetic energy of a rolling body.

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  14. Find the ratio of total kinetic energy to the rotational kinetic energ...

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  15. State and prove theorem of parallel axes.

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  16. State and prove theorem of perpendicular axes.

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  17. Find an expression for MI of a thin circular RING about an axis passin...

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  18. Obtain an expression for MI of a circular disc about a diameter of the...

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  19. Derive an expression for MI of a solid cylinder about its axis.

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  20. What do you mean by the moment of Inertia of a body?

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  21. Establish a relation between the torque and moment of inertia of a rig...

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