Question

the pendulum bob moves in an arc of a circle. state the direction of the resultant of the two forces

Answer 1

Explanation:

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Answer 2

The pendulum moves in an arc of a circle. The direction of the resultant of the two forces the tension and gravitational force produces the centripetal force due to which the bob moves in a circular arc.

• The bob of the pendulum experiences two forces when it moves in an arc of a circle.

• The first force is the force due to gravity if the mass of bob is considered as $m$ then the force of gravity if $F=mg$

• The second force is the tension force $T$ which is due to the string by which the bob is attached.
• The angle between the string and normal is taken as Ф

• When we resolve the two forces acting on the bob along vertical direction we get $TcosФ$ Ф$=mg$                                    
• Along horizontal direction, the component of tension force provides the centripetal force due to which the bob moves in a circle. $Tsin$Ф$=\frac{mv^{2} }{r}$
• Where $v$ is the velocity of bob and $r$ is the radius of the circle.