What Are the Tensions in the Two Cables at Point C?

  • Thread starter Thread starter Deathfish
  • Start date Start date
  • Tags Tags
    Tension Wires
AI Thread Summary
The discussion focuses on determining the tensions in two cables, AC and BC, tied together at point C. The calculated angles for the cables are approximately 38.66 degrees and 53.13 degrees. The x-components of the tensions cancel each other, leading to the equation T1*cos(38.66) = T2*cos(53.13). Additionally, the y-components of the tensions must sum to 200 N. The solution involves solving these equations to find the tensions, which are given as 120.1 N for AC and 156.3 N for BC.
Deathfish
Messages
80
Reaction score
0

Homework Statement



2 cables are tied together at C as shown. Determine the tension in AC and BC.
(ans: 120.1N, 156.3N)

tutorial2_7.jpg


Homework Equations





The Attempt at a Solution



tan-1 4/5 = 38.66
tan-1 4/3 = 53.13

100/tan 38.66 = ACx
ACx = 124.99

AC = sqrt(124.99^2 + 100^2)
AC = 160 (wrong)
 
Physics news on Phys.org
If T1 is the tension in AC and T2 that of BC, then x-components of T1 and T2 cancel each other. Hence

T1*cos(38.66) = T2*cos(53.13) ...(1)

Similarly y-components of tensions add up to 200 N.

Solve the two equations and find T1.
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Problem involving space elevators
Replies
19
Views
2K
Tension in a deformed cylindrical bag on a surface
Replies
18
Views
1K
What Are the Tensions in Each Cable of a Suspension Bridge?
Replies
31
Views
4K
Find the tension in the cable and reactive forces at ground
Replies
4
Views
5K
What is the tension in the lift cable and in the string?
Replies
19
Views
3K
Find tension in cables with forces acting on them.
Replies
1
Views
2K
Seemingly simple equilibrium problem - force balance
Replies
6
Views
2K
Compute the distance x and tension of each cable
Replies
6
Views
3K
Solving Problem on Tension Homework Statement
Replies
4
Views
3K
Calculate tension and strain of wire
Replies
1
Views
5K

Hot Threads

Recent Insights

Back
Top