AP EAMCET202123 Aug 2021Morning ShiftPhysicsLaws of MotionActual
A block of mass 90 ~kg is suspended by three strings A, B and C as shown in figure. Tensions in the strings A, B and C respectively are (g=10 ~ms ⁻², 37^ =0.6, 37^ =0.8 )
Options
- A400 ~N , 500 ~N and 300 ~N
- B500 ~N , 300 ~N and 900 ~N
- C300 ~N , 600 ~N and 900 ~N
- D1200 ~N , 1500 ~N and 900 ~N
Correct answer
D. 1200 ~N , 1500 ~N and 900 ~N
Step-by-step solution
Given, mass of block, m=90 ~kg Acceleration due to gravity, g=10 ~ms ⁻²T_A, T_B and T_C are tensions in strings A, B and C . According to given diagram, aligned Weight & =m g & =90 10 & =900 ~N T_C & =900 ~N aligned By using Lami's theorem, array rlrl & & T_A (90^ +37^ ) & = T_B 90^ = T_C (90^ +53^ ) & T_A 37^ & =T_B= 900 53^ & & T_B & = 900 53^ =1500 ~N & and & T_A & = 900 53^ 37^ & & =1197=1200 ~N array