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Mastering Machine Numericals on lever for Class 10 ICSE | Step-by-Step Solutions Explained

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Struggling with machine numericals in your Class 10 ICSE curriculum? 🧮 You're not alone! In this video, we'll break down complex problems and walk you through step-by-step solutions to help you understand the concepts clearly. Whether it's calculating mechanical advantage, efficiency, or understanding different types of machines, we've got you covered.

What You'll Learn:

Key concepts and formulas related to machine numericals.
Detailed explanations and solutions for commonly asked questions.
Tips and tricks to solve problems quickly and accurately.


Who is this for?

Class 10 ICSE students.
Anyone looking to strengthen their understanding of machine numericals.


Numericals Covered In This Video

1.A crowbar of length 120 cm has its fulcrum situated at a distance of 20 cm from the load. Calculate the mechanical advantage of the crowbar.

2.A pair of scissors has its blades 15 cm long, while its handles are 7.5 cm long. What is its mechanical advantage ?

3. A force of 5 kgf is required to cut a metal sheet. A shears used for cutting the metal sheet has its blades 5 cm long, while its handles are 10 cm long. What effort is needed to cut the sheet ?

4. Fig. 3.16 below shows a lever in use.
Fig. 3.16
(a) To which class of lever does it belong?
(b) If AB = 1 m, AF = 0-4 m, find its mechanical advantage.
(c) Calculate the value of E.

5. A man uses a crowbar of length 1.5 m to raise a load of 75 kgf by putting a sharp edge below the bar at a distance of 1 m from his hand. (a) Draw a diagram of the arrangement showing the fulcrum (F), load (L) and effort (E) with their directions. (b) State the kind of lever. (c) Calculate: (i) load arm, (ii) effort arm, (iii) mechanical advantage, and (iv) the effort needed.

6. A pair of scissors is used to cut a piece of a cloth by keeping it at a distance of 8-0 cm from its rivet and applying an effort of 10 kgf by fingers at a distance of 2-0 cm from the rivet.
(a) Find: (i) the mechanical advantage of scissors, and (ii) the load offered by the cloth.
(b) How does the pair of scissors act: as a force multiplier or as a speed multiplier?a

7. A 4 m long rod of negligible weight is supported at a point 125 cm from its one end and a load of 18 kgf is suspended at a point 60 cm from the support on the shorter arm.
a) If a weight W is placed at a distance of 250 cm from the support on the longer arm, find W.
(b) If a weight 5 kgf is kept to balance the rod, find its position.
(c) To which class of lever does it belong ?

8. A lever of length 9 cm has its load arm 5 cm long and the effort arm is 9 cm long. (a) To which class does it belong? (b) Draw diagram of the lever showing the position of fulcrum F and directions of both the load L and effort E. (c) What is the mechanical advantage and velocity ratio if the efficiency is 100%? (d) What will be the mechanical advantage and velocity ratio if the efficiency becomes 50% ?

9. Fig. 3.17 below shows a lever in use.
Fig. 3.17
(a) To which class of lever does it belong?
(b) If FA = 80 cm, AB = 20 cm, find its mechanical advantage.
(c) Calculate the value of E.

10, Fig. 3.18 below shows a wheel barrow of mass 15/kg carrying a load of 30 kgf with its centre of gravity at A. The points B and C are the centre of wheel and tip of the handle such that the horizontal distance AB = 20 cm and AC = 40 cm.
Fig. 3.18
Find: (a) the load arm, (b) the effort arm, (c) the mechanical advantage, and (d) the minimum effort required to keep the leg just off the ground. codi

11.Fig. 3.19 below shows the use of a lever.
Fig. 3.19
(a) State the principle of moments as applied to the above lever.
(b) To which class of lever does it belong? Give an example of this class of lever.
(c) If FA = 10 cm, AB = 490 cm, calculate : (i) the mechanical advantage, and (ii) the minimum effort required to lift the load (= 50 N).

12. A fire tongs has its arms 20 cm long. It is used to lift a coal of weight 1.5 kgf by applying an effort at a distance of 15 cm from the fulcrum. Find: (i) the mechancial advantage of the fire tongs, and (ii) the effort needed. 

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