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State whether the following statements a...

State whether the following statements are true or false by writing T or F.
(a) The velocity ratio of a single fixed pulley is always more than 1.
(b) The velocity ratio of a single movable pulley is always 2.
(c) The velocity ratio of a combination of n movable pulleys with a fixed pulley is always `2^(n)`.
(d) The velocity ratio of a block and tackle system is always equal to the number of strands of the tackle supporting the load.

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The correct Answer is:
To determine whether the statements are true or false, we will analyze each statement regarding the velocity ratio of different types of pulleys. ### Step-by-Step Solution: 1. **Statement (a)**: "The velocity ratio of a single fixed pulley is always more than 1." - A single fixed pulley changes the direction of the force applied but does not provide any mechanical advantage. The velocity ratio (VR) is defined as the ratio of the distance moved by the effort to the distance moved by the load. For a fixed pulley, VR = 1. - **Conclusion**: This statement is **False (F)**. 2. **Statement (b)**: "The velocity ratio of a single movable pulley is always 2." - A single movable pulley provides a mechanical advantage of 2 because it supports the load with two strands of rope. Therefore, the velocity ratio (VR) for a single movable pulley is indeed 2. - **Conclusion**: This statement is **True (T)**. 3. **Statement (c)**: "The velocity ratio of a combination of n movable pulleys with a fixed pulley is always 2^n." - In a system of n movable pulleys combined with a fixed pulley, the velocity ratio can be calculated as VR = 2^n. Each movable pulley effectively doubles the velocity ratio. - **Conclusion**: This statement is **True (T)**. 4. **Statement (d)**: "The velocity ratio of a block and tackle system is always equal to the number of strands of the tackle supporting the load." - In a block and tackle system, the velocity ratio is indeed equal to the number of strands of rope that support the load. Thus, if there are 'n' strands, the VR is 'n'. - **Conclusion**: This statement is **True (T)**. ### Final Answers: - (a) F - (b) T - (c) T - (d) T
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ICSE-MACHINES-EXERCISE-3(B)
  1. What is a fixed pulley ? State its one use.

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  2. What is the ideal mechanical advantage of a single fixed pulley ? Can ...

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  3. Name the pulley which has no gain in mechanical advantage. Explain, wh...

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  4. What is the velocity ratio of a single fixed Pulley?

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  5. In a single fixed pulley, if the effort moves by a distance x downward...

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  6. What is a single movable pulley ? What is its mechanical advantage in ...

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  7. Name the type of a single pulley that has an ideal mechanical advantag...

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  8. Give two reasons why the efficiency of a single movable pulley is not ...

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  9. In which direction does the force need to be applied, when a single pu...

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  10. What is the velocity ratio of a single movable pulley ? How does the f...

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  11. In a single movable pulley, if the effort moves by a distance x upward...

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  12. Draw a labelled diagram of an arrangement of two pulleys, one fixed an...

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  13. The diagram alongside shows a pulley arrangement. (a) Name the pulle...

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  14. State four differences between a single fixed pulley and a single mova...

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  15. The diagram alongside shows an arrangement of three pulleys A,B and C....

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  16. Draw a diagram of a combination of three movable pulleys and one fixed...

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  17. Draw a diagram of a block and tackle system of pulleys having a veloci...

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  18. Give reasons for the following: (a) In a single fixed pulley, the ve...

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  19. Name a machine which is used to : (a) multiply force, (ii) multipl...

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  20. State whether the following statements are true or false by writing T ...

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