20. A 24-kg block is being lowered by two massless ropes tied to the top corners of theblock. When the block got to dropping too fast, the tension in the ropes was increased, forcingthe block to slow down at a rate of 2 m/s2. The ropes each make anthe horizontal, as shown. Find the tension force provided by each rope.**тТ.53053°angle of 53° with respect toA 4.ka hlockk whi26

Question
Asked Sep 27, 2019
20. A 24-kg block is being lowered by two massless ropes tied to the top corners of the
block. When the block got to dropping too fast, the tension in the ropes was increased, forcing
the block to slow down at a rate of 2 m/s2. The ropes each make an
the horizontal, as shown. Find the tension force provided by each rope.
**
т
Т.
530
53°
angle of 53° with respect to
A 4.ka hlockk whi
26
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20. A 24-kg block is being lowered by two massless ropes tied to the top corners of the block. When the block got to dropping too fast, the tension in the ropes was increased, forcing the block to slow down at a rate of 2 m/s2. The ropes each make an the horizontal, as shown. Find the tension force provided by each rope. ** т Т. 530 53° angle of 53° with respect to A 4.ka hlockk whi 26

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check_circleExpert Solution
Step 1

Applying Newton’s second law of motion.

T sin 53°
Tsin 53°
T
T
53°
530
mg
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T sin 53° Tsin 53° T T 53° 530 mg

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Step 2

The net force in the down...

Σ
F,-ma,
та,
mg- (Tsin θ + Tsin 0) = ma,
2Tsin θ= m(g - a,
m(g-a,)
[2]
T =
2 sin θ
Ξ
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Σ F,-ma, та, mg- (Tsin θ + Tsin 0) = ma, 2Tsin θ= m(g - a, m(g-a,) [2] T = 2 sin θ Ξ

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Newtons Laws of Motion

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