a mass on a spring vibrates in simple harmonic motion at an amplitude of 8.0 cm. if the mass of the object is 0.20kg and the spr
1 answer:
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We use the law of Cosines, resultant force
Here, and
are forces acting at angle
with each other.
Given ,
and
.
Substituting these given values in above formula we get
.
Thus, the resultant force is 156 N.
Answer:
The horizontal component of the 70 N force = 35·√3 N
The vertical component of the 70 N force = 35 N
Explanation:
The magnitude of the given force, F = 70 N
The angle of inclination of the given force to the horizontal, θ = 30°
By the resolution of forces, we can resolve the given force, F, into its horizontal component, Fₓ, and vertical components, , as follows;
The horizontal component of the given force = Fₓ = F × cos(θ)
Substituting the values, we have;
The horizontal component of the 70 N force, Fₓ = 70 × cos(30°) = 35·√3 N
The vertical component of the given force = = F × sin(θ)
Substituting the values, we have;
The vertical component of the 70 N force, = 70 × sin(30°) = 35 N.