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Ques 1: In figure m1 = 1 kg and m2 = 4 kg. Find the mass M o f the hanging block which will prevent the smaller block from slipping over the triangular block. All the surfaces are friction less and the strings and the pulleys are light?
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Ques 1: In figure m1 = 1 kg and m2 = 4 kg. Find the mass M o f the han...
To solve the problem, we need to analyze the forces acting on the blocks and apply Newton's laws of motion.
Given Data:
- Mass of block m1 = 1 kg (on the triangular block)
- Mass of block m2 = 4 kg (on the other side of the pulley)
- Let the mass of the hanging block be M.
Force Analysis:
- The gravitational force acting on m1 is \( F_{m1} = m1 \cdot g = 1 \cdot 9.8 = 9.8 \, \text{N} \).
- The gravitational force acting on m2 is \( F_{m2} = m2 \cdot g = 4 \cdot 9.8 = 39.2 \, \text{N} \).
- The force acting on the hanging block M is \( F_{M} = M \cdot g \).
Condition for Equilibrium:
- To prevent m1 from slipping, the force exerted by the hanging mass M must equal the force exerted by m2 plus the force exerted on m1 due to gravity.
- Set the forces equal to each other:
\[ M \cdot g = F_{m2} + F_{m1} \]
- Plugging in the values:
\[ M \cdot 9.8 = 39.2 + 9.8 \]
\[ M \cdot 9.8 = 49 \]
Calculating M:
- Rearranging gives:
\[ M = \frac{49}{9.8} \]
\[ M = 5 \, \text{kg} \]
Conclusion:
- The mass M of the hanging block required to prevent the smaller block from slipping over the triangular block is **5 kg**.
Given Data:
- Mass of block m1 = 1 kg (on the triangular block)
- Mass of block m2 = 4 kg (on the other side of the pulley)
- Let the mass of the hanging block be M.
Force Analysis:
- The gravitational force acting on m1 is \( F_{m1} = m1 \cdot g = 1 \cdot 9.8 = 9.8 \, \text{N} \).
- The gravitational force acting on m2 is \( F_{m2} = m2 \cdot g = 4 \cdot 9.8 = 39.2 \, \text{N} \).
- The force acting on the hanging block M is \( F_{M} = M \cdot g \).
Condition for Equilibrium:
- To prevent m1 from slipping, the force exerted by the hanging mass M must equal the force exerted by m2 plus the force exerted on m1 due to gravity.
- Set the forces equal to each other:
\[ M \cdot g = F_{m2} + F_{m1} \]
- Plugging in the values:
\[ M \cdot 9.8 = 39.2 + 9.8 \]
\[ M \cdot 9.8 = 49 \]
Calculating M:
- Rearranging gives:
\[ M = \frac{49}{9.8} \]
\[ M = 5 \, \text{kg} \]
Conclusion:
- The mass M of the hanging block required to prevent the smaller block from slipping over the triangular block is **5 kg**.
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Ques 1: In figure m1 = 1 kg and m2 = 4 kg. Find the mass M o f the hanging block which will prevent the smaller block from slipping over the triangular block. All the surfaces are friction less and the strings and the pulleys are light?
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Ques 1: In figure m1 = 1 kg and m2 = 4 kg. Find the mass M o f the hanging block which will prevent the smaller block from slipping over the triangular block. All the surfaces are friction less and the strings and the pulleys are light? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Ques 1: In figure m1 = 1 kg and m2 = 4 kg. Find the mass M o f the hanging block which will prevent the smaller block from slipping over the triangular block. All the surfaces are friction less and the strings and the pulleys are light? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ques 1: In figure m1 = 1 kg and m2 = 4 kg. Find the mass M o f the hanging block which will prevent the smaller block from slipping over the triangular block. All the surfaces are friction less and the strings and the pulleys are light?.
Ques 1: In figure m1 = 1 kg and m2 = 4 kg. Find the mass M o f the hanging block which will prevent the smaller block from slipping over the triangular block. All the surfaces are friction less and the strings and the pulleys are light? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Ques 1: In figure m1 = 1 kg and m2 = 4 kg. Find the mass M o f the hanging block which will prevent the smaller block from slipping over the triangular block. All the surfaces are friction less and the strings and the pulleys are light? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ques 1: In figure m1 = 1 kg and m2 = 4 kg. Find the mass M o f the hanging block which will prevent the smaller block from slipping over the triangular block. All the surfaces are friction less and the strings and the pulleys are light?.
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