Question

Q1. Determine the tensions T, and T2 in the strings as shown (a) 10N, 10N 1 (b) 10N, 5N 20N, 10N (d) 12N, 6N find solutions in t1 & t2​

Answer 1

Answer:

Resolving the tension T

1

along horizontal and vertical directions. As the body is in equilibrium,

T

1

sin60

∘

=4×9.8N ...(i)

T

1

cos60

∘

=T

2

...(ii)

T

1

=

sin60

∘

4×9.8

3

4×9.8×2

=45.26N

T

2

=T

1

cos60

∘

=45.26×0.5

=22.63N

Answer 2

Question:

Determine the tensions T, and T2 in the strings as shown (a) 10N, 10N 1 (b) 10N, 5N 20N, 10N (d) 12N, 6N find solutions in t1 & t2.

Statement:

Resolving the tension T₁ along horizontal and vertical directions. As the body is in equilibrium.

Solution:

→ T₁ sin 60° = 4 × 9.8 N [Equation 1]

→ T₁ sin 60° = T₂ [Equation 2]

→ T₁ = 4 × 9.8 / sin 60°

→ 4 × 9.8 × 2 / root 3 = 45.26 N

→ T₂ = T₁ cos 60°

→ 45.26 × 0.5

→ 22.63 N