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(209) Problem 3: You are constructing mobile out of 5 identical toy helicopters_ each of mass m 165 g, identical sticks (each length / = 24.1 cm, and negligible mass) and thin string negligible mass_ The distance from the left-hand side of each stick to the attachment point of the sting supporting it ae Xp through x4 respectively, as shown in the diagram. The tensions in the supporting strings are T/ through T4 as shown. You want to design the mobile s0 that it is in static equilibrium_ Otheexpertta com 13 % Part (a) Find the tension in Newtons in the string T]. 13 % Part (b) Find the tension in Newtons in the string 13% Part (c) Find the tension in Newtons in the string Tz: 13 % Part (d) Find the tension in Newtons in the string T4: 13 % Part (e) Find the distance X/, in centimeters 13 % Part (f) Find the distance Xz in centimeters _ 13 % Part (g) Find the distance Xz,in centimeters _ 13 % Part (h) Find the distance x4, in centimeters _

Sagot :

The distance and tension in the supporting strings are

a)X1 = 12.05 b) x2 = 16.06, T2 =  0.7644 N c) X3 =  18.01 cm , T3 = 1.0123N, d) T4 = 1274N e) X4 = 4.82 cm

The mas of toy m = 165g

sticks length l = 24.1 cm

For x1,

Both toys are balanced at same distance from middle point,

x1 = 24.1/2 = 12.05

F0r x2

we know  that  moment force = mgd

here mgx2 = 2mg(24.1 - x2)

x2 = 48.2 - 2x2

x2 = 16.06

Total tension = mg

m = 3 × 26

tension T2 = 0.7644 N

for x3,

x3 = 3/4 × 24.1 = 18.01 cm

T3 = 4 × 0.26 × 9.8 = 1.0123N

For X4,

x4 = 1/5 × 24.1 = 4.82 cm

T4 = 5× 0.026× 9.8 = 1274 N

Tension is defined as the pulling force transferred axially by a string, rope, chain, or other similar object, or by each end of a rod, truss member, or other similar three-dimensional object; tension may also be referred to as the action-reaction pair of forces acting at each end of those elements. Compression's opposite, tension, is possible.

When atoms or molecules are driven apart from one another and accumulate potential energy while a restoring force is still present, the restoring force may produce what is also known as tension. Each end of a string or rod that is under such stress could pull on the thing it is attached to in order to release the tension and restore the string or rod to its relaxed length.

Learn more about tension here:

https://brainly.com/question/16976648

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