a ) The tension in a vertical strand = 68.6 * N
b ) The tension in a horizontal strand = 149.13 * N
c ) Tension in horizontal strand / Tension in vertical strand = 2.17
a ) The tension in a vertical strand,
m = 7 * kg
g = 9.8 m / s²
Since the strand is vertical and the spider is motionless,
∑ = 0
T - mg = 0
T = 7 * * 9.8
T = 68.6 * N
b ) The tension in a horizontal strand,
θ = 13.0°
The strands left and right have same magnitude and makes the same angle with the horizontal. Resolving,
sin θ = / T
= T sin 13.0°
∑ = 0
+ - mg = 0
T sin 13.0° + T sin 13.0° = 7 * * 9.8
2 T sin 13.0° = 68.6 *
T = 68.6 * / 0.46
T = 149.13 * N
c ) Ratio of strands,
Tension in horizontal strand / Tension in vertical strand = 149.13 * / 68.6 *
Tension in horizontal strand / Tension in vertical strand = 2.17
Therefore,
a ) The tension in a vertical strand = 68.6 * N
b ) The tension in a horizontal strand = 149.13 * N
c ) Tension in horizontal strand / Tension in vertical strand = 2.17
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