The period, phase shift, and vertical shift are; Period is 2π/3, Shift is 4 units to the left and vertical shift is 6 units up.
<h3>How to find waveform properties?</h3>
We are given the waveform equation as;
csc[3(x + 4)] + 6.
Expanding this gives us;
csc[3x + 12] + 6.
Period = 2π/b
From the given waveform, b = 3. Thus;
Period = 2π/3
Phase shift = -c/b
where c from the given waveform is 12. Thus;
Phase shift = -12/3 = -4
Thus, phase shift is 4 units to the left while vertical shift is 6 units upawrds.
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Explanation:
Answer:
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Explanation:
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The tension on each segment of the clothesline is : 110 N
<u>Given data : </u>
mass of object = 100 n = 10 kg
Horizontal distance of clothesline = 4 m
middle of clothesline sag s by : 1m
<h3 /><h3>Determine the tension on each segment of clothesline</h3>
<u>First step</u> : calculate the horizontal angle made by the sagging
β = arctan ( 1 m / 2m ) ----- ( 1 )
= arctan ( 0.5 )
≈ 26.57°
Note : Tension in th y axis ( Ty ) = Tsinβ
Therefore :
Tension on each segment can be calculated using the formula below
2Tsinβ - mg = 0
solve for T
T = mg / 2sinβ
= ( 10 * 9.8 ) / 2 * sin 26.57°
= 98 / 0.89
= 110 N
Hence we can conclude that the tension on each segment of the clothesline is : 110 N
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