Mechanical Engineering - Engineering Mechanics - Discussion

Discussion Forum : Engineering Mechanics - Section 7 (Q.No. 10)
10.
The force induced in the string BC due to the load W as shown in the below figure is
W sin θ
W cos θ
W tan θ
W cot θ
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
8 comments Page 1 of 1.

MD MOSHAHID HUSSAIN said:   6 years ago
Apply Lami's theorem,

W/Sinθ=BC/(Sin270θ)
W/Sinθ=BC/(-Cosθ)
So, BC=-WCotθ.

Suresh s said:   7 years ago
For Equilibrium Condition Sum of horizontal forces = 0 and sum of vertical force = 0,
F @ac sin(θ) = W
F @ ac = W/ sin(θ)
And
F @ bc = F@ac cos(θ) =w cos(θ)/sin(θ)
= Wcot(θ).

Saurabh said:   7 years ago
Thanks for the good answer @Venkat.

Saurabh said:   7 years ago
Thanks for the good answer @Venkat.

Nishant yadav said:   8 years ago
You are right and thanks @Gajendra.

Venkat said:   10 years ago
Note: In triangle, sum of all angles is 180.

Let angle at A is a and force on CB is A. So angle A = (180 - 90 - theta) = (90 - theta).

W/sin (theta) = A/sin (90 - theta).

A = W (cos (theta)/sin (theta)) = W cot (theta).
(2)

SAGAR said:   10 years ago
In AB is equal to Wcosec@.

Gajendra said:   1 decade ago
w/sin@ = BC/Sin(270-@).
BC = W*(-Cos@)/Sin@.
BC = -W*Cot@.

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