Machines
Fig 3.13 shows a nut cracker. In the diagram, mark the position of the fulcrum F and the line of action of load L and effort E.
Figure shows a lever system which is of $$1\ m$$ length and has marks at equal spacing. At which point $$A,B,C$$ and $$D$$ should you put a fulcrum so that the lever will be in equilibrium?
As the lever is divided into ten parts so the marks are at a separation of $$0.1\ m$$ each.
Now assume distance of fulcrum from $$30 \mathrm{~kg}$$ is $$r\ \mathrm{m}$$
So to balance the lever
$$30 \times r=2 \times(1-r)$$
$$\quad 3 r=2-2 r$$
$$\quad 5 r=2$$
$$\quad r=0.4\ m$$
The point of fulcrum should be $$0.4\ m$$ from $$30\ kg$$ which is mark A
Fig 3.13 shows a nut cracker. In the diagram, mark the position of the fulcrum F and the line of action of load L and effort E.
Draw diagrams to illustrate the position of fulcrum load and effort, in the following: A common balance
Fig 3.18 above shows the use of a lever. State the principle of moments as applied to the above lever.
Two crowbars A and B of length $$5\ m$$ and $$7\ m$$ respectively are used to lift a boulder, using a small stone, as a fulcrum. Crowbar ___ (A/B) uses less effort to lift the boulder.
Fatimah and Sunil balance each other on a see-saw. If Fatimah moves further away from the fulcrum, what will happen to Sunil?
The figure shows a man using a wooden pole to carry two baskets, $$M$$ and $$N$$. If the lever system is in equilibrium, which of the following conclusions are true? $$I$$. Basket $$M$$ is heavier than basket $$N$$. $$II$$. Basket $$M$$ contains pebbles whereas basket $$N$$ contains leaves. $$III$$. The force of gravity acting on basket $$M$$ is stronger than basket $$N$$.
In a first order lever a $$1g$$ feather was balanced by a $$1kg$$ rock. Find the ratio of distance of feather from the fulcrum to that of distance of feather from the rock.
In a lever, fulcrum is at one end at a distance of $$30\ cm$$ from the load and effort is at the other end at a distance of $$90\ cm$$ from the load. Find: The length of load arm.