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Newton's Second Law: Rotatory Version

VIOIONTarlane...

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VIOIONTarlane12. Three forces given by vectors 2i+2j, 2i-2j and - 4i are acting together on a point object at rest. The objectmoves along the direction(1) x-axis(2) y-axis(3) z-axis(4) Object does not move

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Q. The vector moment about the point

\to i + \to 2 j + \to 3 k

of the resultant of forces

\to i - \to 2 j + \to 5 k

\to 3 j - \to 4 k

acting at the point

- \to 2 i + \to 3 j - \to 3 k

Q. Find the vector moment of three forces

i + 2 j - 3 k, 2 i + 3 j + 4 k

- i - j + k

acting on a particle at a point

P (0, 1, 2)

about the point

A (1, - 2, 0) .

Q. Three force vectors

\to P, \to Q, \to R

of 15kg. each act along AB, BC and CA respectively. The position vectors of

A, B

C

\to O A = 2 i - 4 j + 3 k

\to O B = 5 i + 3 j - 2 k,

\to O C = - 2 i + 2 j + 3 k .

Find the resultant force vector

\to S

\to P, \to Q

\to R .

Q. The point having position vectors 2i + 3j + 4k, 3i + 4j + 2k, 4i + 2j + 3k are the vertices of.

\to P, \to Q

\to R

15

units, act along

A B, B C

C A

respectively. The position vectors of

A, B

C

\to O A = \to 2 i - \to j + \to 3 k

\to O B = \to 5 i + \to 3 j - \to 2 k

\to O C = - \to 2 i + \to 2 j + \to 3 k

respectively. The resultant force vector is

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Newton's Second Law: Rotatory Version

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