Concepts Of Physics MCQ Edition [Volume 1]
- Exam
- Concepts Of Physics MCQ Edition [Volume 1]
- Subject
- Physics
- Chapter
- Newton's Laws of Motion
Concepts Of Physics MCQ Edition [Volume 1] · Physics · Newton's Laws of Motion
A block of mass 0.2 kg is suspended from the ceiling by a light...
A block of mass is suspended from the ceiling by a light string. A second block of mass is suspended from the first block through another string. Determine the tensions in the upper and lower strings, respectively. Take .
Options
- A and
- B and
- C and
- D and
Correct answer
C. and
Step-by-step solution
Let be the mass of the upper block and be the mass of the lower block.
For the lower block, the forces acting on it are its weight downwards and the tension of the lower string upwards. Since the system is in equilibrium:
For the upper block, the forces acting on it are its weight downwards, the tension downwards, and the tension of the upper string upwards. Since it is in equilibrium:
Alternatively, the upper string supports the total mass of both blocks. Thus, the tension in the upper string is:
The tensions in the upper and lower strings are and , respectively.
For the lower block, the forces acting on it are its weight downwards and the tension of the lower string upwards. Since the system is in equilibrium:
For the upper block, the forces acting on it are its weight downwards, the tension downwards, and the tension of the upper string upwards. Since it is in equilibrium:
Alternatively, the upper string supports the total mass of both blocks. Thus, the tension in the upper string is:
The tensions in the upper and lower strings are and , respectively.