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algol [13]
3 years ago
8

a 20N mass is supported by two ropes. what is the tension in each rope? how woould i work this problem if i know the two angles

and thats the only info i know.
Physics
1 answer:
TiliK225 [7]3 years ago
5 0

Before we could discuss this in any specific detail, I think we would have to
know the angles.  A generic discussion without actual numbers for the angles
would be just plain too confusing.

The general approach is that the vertical components of both tensions
add up to 20N, and the horizontal components are equal but in opposite
directions.  That's the only way that the mass is hanging motionless.

You have to find the horizontal and vertical components of the tensions
by using the angles and maybe the lengths of the ropes.


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PLEASE PROVIDE AN EXPLANATION.<br><br> THANKS!!!
ziro4ka [17]

Answer:

(a) A = 0.0800 m, λ = 20.9 m, f = 11.9 Hz

(b) 250 m/s

(c) 1250 N

(d) Positive x-direction

(e) 6.00 m/s

(f) 0.0365 m

Explanation:

(a) The standard form of the wave is:

y = A cos ((2πf) t ± (2π/λ) x)

where A is the amplitude, f is the frequency, and λ is the wavelength.

If the x term has a positive coefficient, the wave moves to the left.

If the x term has a negative coefficient, the wave moves to the right.

Therefore:

A = 0.0800 m

2π/λ = 0.300 m⁻¹

λ = 20.9 m

2πf = 75.0 rad/s

f = 11.9 Hz

(b) Velocity is wavelength times frequency.

v = λf

v = (20.9 m) (11.9 Hz)

v = 250 m/s

(c) The tension is:

T = v²ρ

where ρ is the mass per unit length.

T = (250 m/s)² (0.0200 kg/m)

T = 1250 N

(d) The x term has a negative coefficient, so the wave moves to the right (positive x-direction).

(e) The maximum transverse speed is Aω.

(0.0800 m) (75.0 rad/s)

6.00 m/s

(f) Plug in the values and find y.

y = (0.0800 m) cos((75.0 rad/s) (2.00 s) − (0.300 m⁻¹) (1.00 m))

y = 0.0365 m

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