1. Provide a sample problem for the remaining simple machines. Show detailed calculations.
a. Wheel and axle;
b. wedge
Sample problem:
a. A winch has a handle that turns in a radius of 40.0 cm. The radius of the axel is 20.0 cm. Find the
force required to lift a bucket weighing 500 N. (wheel and axle)
Given: 𝐹𝑟 = 500 𝑁 ; 𝑑𝐸 = 40.0 𝑐𝑚 ;𝑑𝑟 = 20.0 𝑐𝑚
𝐹𝐸 = ?
𝐹𝑖𝑛 × 𝑑𝑖𝑛 = 𝐹𝑜𝑢𝑡 × 𝑑𝑜𝑢𝑡
𝐹𝑜𝑢𝑡
𝐹𝑖𝑛
500 𝑁
𝐹𝑖𝑛
=
=
𝑑𝑖𝑛
𝑑𝑜𝑢𝑡
40.0 𝑐𝑚
20.0 𝑐𝑚
𝐹𝑖𝑛 = 250 𝑁
b. What is the Ideal Mechanical Advantage of a wedge of an axe with a width of 15 cm and
height of 30 cm, that is hitting through a wood? (wedge)
Given: 𝑑𝐸 = 30 𝑐𝑚 ; 𝑑𝑅 = 15 𝑐𝑚
𝐼𝑀𝐴 =
𝐼𝑀𝐴 =
𝑑𝐸
𝑑𝑅
30 𝑐𝑚
15 𝑐𝑚
𝐼𝑀𝐴 = 2
𝐿
= 𝑇 (where: L = depth of penetration of wedge; T = separation of wood)