A body- initially at rest- is acted upon by four forces F1-k- F2-2-3k- F3 - 3- and F4 - 3-4- In which plane will the body move-

Resultant force =F_1+F_2+F_3+F_4 =(î+k̂)+(2ĵ+3k̂)+3î+(3ĵ 4î) =5ĵ+4k̂ Hence, the correct option is (c). ...

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Byju's Answer

Standard XII

Physics

Addition and Subtraction in Unit Vector Notation

A body, initi...

Question

A body, initially at rest, is acted upon by four forces $_{1} =^i +^k,_{2} = 2^j + 3^k,_{3} = 3^i$ and $_{4} = 3^j - 4^i$ . In which plane will the body move?

x-y plane

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x-z plane

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y-z plane

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None of these

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Solution

The correct option is C
y-z plane

Resultant force $=_{1} +_{2} +_{3} +_{4}$
$= (^i +^k) + (2^j + 3^k) + 3^i + (3^j - 4^i)$
$= 5^j + 4^k$
Hence, the correct option is (c).

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A body, initially at rest, is acted upon by four forces −→F1=^i+^k, −→F2=2^j+3^k, −→F3=3^i and −→F4=3^j−4^i. In which plane will the body move?

The correct option is C y-z plane Resultant force =−→F1+−→F2+−→F3+−→F4 =(^i+^k)+(2^j+3^k)+3^i+(3^j−4^i) =5^j+4^k Hence, the correct option is (c).

A body, initially at rest, is acted upon by four forces $_{1} =^i +^k,_{2} = 2^j + 3^k,_{3} = 3^i$ and $_{4} = 3^j - 4^i$ . In which plane will the body move?

The correct option is C
y-z plane

Resultant force $=_{1} +_{2} +_{3} +_{4}$
$= (^i +^k) + (2^j + 3^k) + 3^i + (3^j - 4^i)$
$= 5^j + 4^k$
Hence, the correct option is (c).