A rope of mass is connected at the same height of two opposite walls. It is allowed to hang under its own weight. At [he contact point between the rope and the wall, the rope makes an angle with respect to horizontal. The tension in the rope at its midpoint between the walls is
1
2.78 N
2
2.56 N
3
2.82 N
4
2.71 N
Official Solution
Correct Option: (3)
Let the tension in each section and be . Now, from the condition of equilibrium it is clear that the horizontal components are equal in magnitude and opposite to each other so they cancel out each other. Hence,
02
PYQ 2010
medium
physicsID: met-2010
With what minimum acceleration can a fireman slide down a rope while breaking strength of the rope is of the weight?
1
2
g
3
4
Zero
Official Solution
Correct Option: (3)
Step 1: Apparent Weight
When sliding down with acceleration , the tension in the rope (apparent weight) is . Step 2: Condition
The tension must not exceed the breaking strength: . Step 3: Calculation
.
. Final Answer: (C)
03
PYQ 2010
medium
physicsID: met-2010
A body of weight 2 kg is suspended as shown in figure. The tension in the horizontal string (in kg-wt) is
1
2
3
4
2
Official Solution
Correct Option: (3)
Step 1: Equilibrium Analysis
Let be the tension in the inclined string. Resolving forces vertically: . Step 2: Calculation of Inclined Tension
. Step 3: Horizontal Tension
The horizontal tension must balance the horizontal component of : .
. Final Answer: (C)
