A segment is divided into two parts having lengths in the ratio of 5:3. If the difference between the length of the parts is 6",
1 answer:
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Answer:
21.2 degrees
Explanation:
Let gravitational acceleration constant g = 9.81 m/s2 directed downward. We can calculate the g component that is parallel to the 25 degree incline:
This parallel component would produce an acceleration of the block. But since the net acceleration is only 0.7 m/s2, there's a friction acceleration that hinders g parallel. This acceleration can be calculated by
The force of friction would be
Friction is a product of normal force and its coefficient
For the crate to slide down at constant speed, the net acceleration must be 0. In other words, the parallel g must be the same as acceleration caused by friction. Let this incline angle be α
As we know that
here we know that
now by the above formula we will have