A 15kg piece of mass suspended from a hook in the ceiling is pulled aside by a horizontal string until the supporting string makes an angle of 30 with the vertical .draw a vector diagram showing all the force acting on the piece of mass
charles
To draw a vector diagram showing all the forces acting on the suspended mass, we need to consider the different forces involved.
1. Weight (W): The weight of the mass acts vertically downwards. Since the mass is 15 kg, the weight can be calculated using the formula W = m * g, where g is the acceleration due to gravity (approximately 9.8 m/s^2). Therefore, W = 15 kg * 9.8 m/s^2.
2. Tension in the supporting string (T): The supporting string exerts an upward force (tension) on the mass. This force prevents the mass from falling down. The tension force acts in the direction of the string, making an angle of 30 degrees with the vertical.
Now, let's draw the vector diagram:
- Start with a horizontal line segment to represent the ground or the ceiling.
- From the endpoint of the line segment, draw a downward vertical line to represent the weight of the mass (W).
- From the same endpoint, draw a line at an angle of 30 degrees with the vertical to represent the tension force (T).
The resulting vector diagram should show two forces:
- A downward vertical arrow representing the weight (W).
- An arrow at an angle of 30 degrees with the vertical representing the tension force (T).
Remember to label the arrows appropriately to indicate the forces they represent (e.g., "W" for weight and "T" for tension).
Note: The weight vector should be longer than the tension vector since the weight is greater than the tension force in this scenario.