Question

14). The resultant of the two forces are peependicular
to the smaller of the two forces. The magnitude of one
of the forces is double the magnitude of the other
force what is the angle between the forces?​

Answer 1

Answer:

14). The resultant of the two forces are peependicular

to the smaller of the two forces. The magnitude of one

of the forces is double the magnitude of the other

force what is the angle between the forces?

Answer 2

Answer:

Angle between the forces is 120°

Explanation:

Lets consider two forces F1 and F2 are given.

R= resultant of two forces

According to question,

∣F1∣ = 2 ∣F2∣

R = F1 + F2 . . . . . . . . .(1)

Resultant R is perpendicular to to the smaller force.

R . F2 =0

( F1 + F2). F2 = 0

F1. F2 + F2 .F2 = 0

∣ F1 ∣∣ F2∣ cosθ + ∣F2 ∣² =0

2 ∣F2 ∣∣F2∣ cosθ + ∣F2 ∣²=0

2cosθ + 1 = 0

cosθ = -½

θ = cos-¹ (−0.5)

θ = 120°

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