A pendulum suspendentfrom the roof of the bus moving along a horizontal track makes an angle of 5* with the vertical. 1. what forces are acting on the the pendulum bob? 2.Determine the acceleration of the bus?

tan 5 = a/g

To determine the forces acting on the pendulum bob, we need to consider two forces: the gravitational force and the tension force in the string.

1. Gravitational Force: The pendulum bob has a mass and therefore, experiences the force of gravity pulling it downwards. This force acts vertically downwards towards the center of the Earth.

2. Tension Force: The pendulum bob is connected to the roof of the bus with a string or rod, creating tension in the string. This tension force acts along the string and is directed towards the point of suspension.

Now let's move on to determining the acceleration of the bus. The acceleration of the bus can be calculated using the given information about the angle of the pendulum.

The angle made by the pendulum with the vertical is 5°. This angle is formed due to the horizontal acceleration of the bus. We can use trigonometry to find the horizontal component of acceleration.

Since the angle is small (5°), we can approximate the sine of the angle to be equal to the angle in radians. Therefore, sin(5°) ≈ 5° in radians ≈ 0.087.

The horizontal component of acceleration (a) can be related to the gravitational acceleration (g) and the angle (θ) by the equation: a = g * tan(θ)

Given that the acceleration due to gravity is approximately 9.8 m/s^2, the acceleration of the bus can be calculated as: a = 9.8 * tan(5°) ≈ 0.87 m/s^2.

So, the acceleration of the bus is approximately 0.87 m/s^2.