Question

1. The IMA of the doorknob shown is .

1
0.2
6

2. What is the IMA of the inclined plane shown?
6
6.75
3

3. Choose the mathematical formula expressing work.

W=F x d
W=d/F
W=F/d

Answer 1

the ima of the doorknob is 6.

Answer 2

Explanation :

(a) The full form of IMA is Ideal Mechanical Advantage. It is given as the ratio of the radius of the wheel and the radius of the axle.

From the figure,

The radius of the wheel is 6 cm

and the radius of the axle is 1 cm.

`IMA=(6\ cm)/(1\ cm)=6\ cm`

So, the IMA of the doorknob is 6.

(b) The IMA of the inclined plane is given by the ratio of the distance covered by the effort (L) and the distance covered by the resistance (h).

So,
`IMA=(4.5\ m)/(1.5\ m)=3`

So, the IMA of the inclined plane is 3.

(c) Work done is the product of the force acting and the displacement caused.

Mathematically, it can be written as :

`W=F* d`

F is applied force

d is the distance or displacement.