How to solve the pulley problems (on a inclined plane)
Pulleys on a flat surface
Let's talk about a different type of problem with using pulleys
Let's talk about a different type of problem with using pulleys
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj3xjhbnphSQJx6xPMM_Ndv-CPm-Ye7fUktKzk308sbK2eEs_eiq9dPnlJQflG6Z6trc1p2T1TrQWw9bTcWSiHnTekqfQvy8SWWGUrdB5Cd0PurYhFbFXS23Stsw7wCDzly-GpzyGGWjCE/s400-rw/physics-solution-to-pulley-machine-on-table.png)
Pulley on an inclined plane
How to solve pulley on incline plane
$$a=\dfrac{m_2g-m_1g sin\theta}{m_1+m_2}$$
$$T_1=m_1g\pm m_1a$$ Going up
$$T_1=m_1g+ m_1a$$
$$T_2=m_2g\pm m_2a$$ Going down
$$T_2=m_2g- m_2a$$
Now what if we consider friction now?
Now tilt it a little bit.
$$\dfrac{m_2g sin\theta_2-m_1g sin\theta_1}{m_1+m_2}$$
$$T_1=T_2$$
$$T_2=m_2g sin\theta_2\pm m_2a$$
$$T_2=m_2g sin\theta_2- m_2a$$
See also: Pulley Hanging from the celling
How to solve pulley on incline plane
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjBr6lSBk19kgZCw8z3BRezFl-E468F1KYq3FuMXPqAjP3nrrC8j4kpVjfQgzaicU4nx-fSfL6KS_NuVmNaw-gWbfSMxLa5nNAy7YLwP7MCf900YVrp9FxbqHc_RzNdxUBkPhiB1kAklA4/s400-rw/pulley-on-incline.png)
$$a=\dfrac{m_2g-m_1g sin\theta}{m_1+m_2}$$
$$T_1=m_1g\pm m_1a$$ Going up
$$T_1=m_1g+ m_1a$$
$$T_2=m_2g\pm m_2a$$ Going down
$$T_2=m_2g- m_2a$$
Now what if we consider friction now?
Now tilt it a little bit.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg7nXLoaODh9uuV3AeRnEjTcWt5sT9ZvZfdvGjZZtvZECk0kco_eD5kwIcWBzeBQLq6IOpLZyCuRJmFZfwzgQu9GaFh7TDuO5VqMxqNy7xK-tdAM7Fx8fnO2CcEN6sI4WwymonxCUjzKbQW/s400-rw/pulley+on+an+incline2.png)
$$\dfrac{m_2g sin\theta_2-m_1g sin\theta_1}{m_1+m_2}$$
$$T_1=T_2$$
$$T_2=m_2g sin\theta_2\pm m_2a$$
$$T_2=m_2g sin\theta_2- m_2a$$
See also: Pulley Hanging from the celling