3. Exercises

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Exercise 3.1

A sphere, of mass 20 kg, is supported by a single vertical cable. Find the tension in the cable.

Answer
Answer 3.1
Solution
Solution 3.1


Exercise 3.2

A sphere, of mass 20 kg, is supported by a single vertical cable. Find the tension in the cable.

Answer
Answer 3.2
Solution
Solution 3.2


Exercise 3.3

Image:E3.3.GIF

The diagram shows two masses and two strings that are suspended from a fixed point. Find the tension in each string.


Answer
Answer 3.3
Solution
Solution 3.3


Exercise 3.4

Image:E3.4.GIF

A plank leans against the back of a lorry, as shown in the diagram. Draw a diagram to show the forces acting on the plank.


Answer
Answer 3.4


Exercise 3.5

Two books are placed, one on top of each other on a horizontal surface. The top book has mass 1.2 kg and the lower book has mass 1.8 kg.

a) Draw diagrams to show the forces on each book.

b) Calculate the magnitude of the normal reaction force acting on the top book.

c) Calculate the magnitude of the normal reaction forces acting on the bottom book.

Answer a
Answer 3.6a
Answer b
Answer 3.6b
Answer c
Answer 3.6c
Solution b
Solution 3.5b
Solution c
Solution 3.5c


Exercise 3.6


Exercise 3.5

A simple pendulum consists of a small metal sphere attached to a length of string. The sphere then swings in a vertical plane, describing a circular arc. Draw a diagram to show the forces acting on the sphere when it is at

a) its lowest point,

b) its highest point,

c) between its highest and lowest points.



Answer a
Answer 3.6a
Answer b
Answer 3.6b
Answer c
Answer 3.6c
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