A spider hangs from the junction formed by three strands of silk, as shown in the figure. The force of tension in each strand pulls at the junction. The net force at the junction is zero. In other words, the resultant of all three force vectors is zero at the junction. The gravitational force on the spider makes it exert a downward force of 0.15 N on the junction. The two sloping strands are perpendicular to each other. We have chosen the x and y axes to be along those strands as shown. The force of the right strand on the junction has magnitude T = 0.127 N. The force of the left strand on the junction has unknown magnitude Ty. a) Calculate Ty. b) Calculate the angle between the x axis and the horizontal direction. Hint: The SI unit of force is the newton, which is abbreviated as N. You must consider three force vectors. The x components of all three vectors must add to zero, and the y components must also add to zero. Note that the coordinate system is “rotated" which is T T,

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A spider hangs from the junction formed by three strands of
silk, as shown in the figure. The force of tension in each
strand pulls at the junction. The net force at the junction is
zero. In other words, the resultant of all three force vectors
is zero at the junction. The gravitational force on the spider
makes it exert a downward force of 0.15 N on the junction.
The two sloping strands are perpendicular to each other. We
have chosen the x and y axes to be along those strands as
shown. The force of the right strand on the junction has magnitude Tx
force of the left strand on the junction has unknown magnitude T,y. a) Calculate Ty. b)
Calculate the angle between the x axis and the horizontal direction.
Hint: The SI unit of force is the newton, which is abbreviated as N. You must consider
three force vectors. The x components of all three vectors must add to zero, and the y
components must also add to zero. Note that the coordinate system is "rotated" which is
Tx
Ty
0.127 Ν. The
a little unusual.
Transcribed Image Text:A spider hangs from the junction formed by three strands of silk, as shown in the figure. The force of tension in each strand pulls at the junction. The net force at the junction is zero. In other words, the resultant of all three force vectors is zero at the junction. The gravitational force on the spider makes it exert a downward force of 0.15 N on the junction. The two sloping strands are perpendicular to each other. We have chosen the x and y axes to be along those strands as shown. The force of the right strand on the junction has magnitude Tx force of the left strand on the junction has unknown magnitude T,y. a) Calculate Ty. b) Calculate the angle between the x axis and the horizontal direction. Hint: The SI unit of force is the newton, which is abbreviated as N. You must consider three force vectors. The x components of all three vectors must add to zero, and the y components must also add to zero. Note that the coordinate system is "rotated" which is Tx Ty 0.127 Ν. The a little unusual.
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