Physics: Torque and static equilibrium

[Frantelle]

I don't like writing formulas on the computer, so i just scanned my attempt.

http://c.imagehost.org/view/0630/q.jpg

In my working out, i incorrectly use the mass of 21kg for the light, it's actually 21.5kg...but either way my working out is still incorrect.

Thanks in advance, Frantelle.

 

[Piamedes]

Look closely at the diagram, does the tension in the cable actually have a component in the y-direction?

 

[Moetasim]

Thank you for sharing your work with me, Frantelle. It is important to always double check your calculations and values to ensure accuracy in your results. In this case, using the correct mass of 21.5kg for the light would result in a slightly different answer, but the overall concept and approach to the problem remains the same.

In physics, torque is a measure of the force that causes an object to rotate about an axis. In your attempt, you correctly identified the formula for torque, which is the product of the force applied and the distance from the axis of rotation. However, it is important to note that the direction of the force also plays a role in determining the direction of the torque. In your example, the force applied by the weight of the light is acting downwards, while the force applied by the weight of the 10kg mass is acting upwards. This results in opposite directions of torque, which must be taken into account in your calculations.

Additionally, in order for an object to be in static equilibrium, the net torque acting on it must be zero. This means that the clockwise and counterclockwise torques must balance each other out. In your attempt, you correctly identified the equation for static equilibrium, which states that the sum of the clockwise torques must equal the sum of the counterclockwise torques. However, it is important to ensure that all torques are taken into account, including the torque caused by the weight of the 10kg mass acting at a distance of 1.5 meters from the axis of rotation.

Overall, your attempt demonstrates a good understanding of the concepts of torque and static equilibrium. I would suggest double checking your calculations and values to ensure accuracy in your results. Keep up the good work in your studies of physics!