Question

if the resultant of two equal forces is 2 times the single force find the angle between them. ​

Answer 1

Answer:

Two two forces are equal (i.e.,)

P = Q

Here R =3P−−−√

R=P2+Q2+2PQcosθ−−−−−−−−−−−−−−−−−√

Substituting the values

3P−−−√=P2+P2+2P2cosθ−−−−−−−−−−−−−−−−−√

Squaring both sides

3P2+P2+P2+2P2cosθ

3P2=P2(1+1+2cosθ)

=2P2+2P2cosθ

∴P2=2P2cosθ

2cosθ=1

cosθ=12(or)θ=60∘ .

Answer 2

Answer:

120°

Explanation:

Let the two equal forces be x and 2x(because of 2 times).

According to the questions,

X + 2x = 360°

3x = 360°

x = 360°/3

x = 120°

Hence, the angle between them is 120°.

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