An initially stationary box of sand is to be pulled across a floor by means of a cable in which the

An initially stationary box of sand is to be pulled across a floor by means of a cable in which the tension should not exceed 1100 N. The coefficient of static friction between the box and the floor is 0.35. (a) What should be the angle between the cable and the horizontal in order to pull the greatest possible amount of sand, and (b) what is the weight of the sand and box in that situation?

[@anonymousjoel]

can you explain how you knew you needed to take the derivative to get the angle?

[@moaiya8]

Checked. I almost got the answer but I was stuck on derivative part. Thanks for the great video.

[@guggystyle]

+Park Shawn Thanks for watching!

[@ZachDavisForReals]

This was incredibly clear and helpful, thank you so much. I hope to run into more of your videos in my physics journey. Sub'd

[@gabriellesimoneau9958]

i think there is a way to do this without using derivatives but no one seems to explain it on the internet...

[@SgMaxii]

Have you already figure it out!??!

[@TokeyMcGee]

Thank you so much for this!

[@shahababdulla450]

Could you please explain why you derived the equation?

[@SgMaxii]

HOW TO DO IT WITHOUT HAVING TO DERIVE?
any time that you are given static friction you can solve the angle with:
tanθ=μ
and then just solve for μ
θ= arctan( μ)

[@thanhtantruongvinh99]

Very helpful. Thank you sir :D

[@shahababdulla450]

I've taken calculus and only learned that you essentially use derivatives for functions of position to find the functions for the velocity and acceleration.

[@abdelghaderabbe5257]

thanks.. you re helping a looot

[@matchaicecream6086]

WHAT THE!

[@yanhesapmustafa2588]

how can you take derivative of mass? isn't it a constant

[@TankiCubed]

another fantastic video, thank you!

[@aokosakano3037]

why was the cos and sin switched at 2:33? i did not understand the explanation about the maximum amount of sand either.

[@guggystyle]

The answers to these questions require knowledge of calculus. Have you taken that level of math yet?

[@aokosakano3037]

no, but i did not know that calculus is a prerequisite to physics

[@mayowaolatunde568]

aoko sakano um calculus is a pre requisite to everything. You do derivatives in physics also so you might as well learn derivatives of trig functions

[@aokosakano3037]

i take physics class but i have not taken calculus, many others in my physics class haven't either

[@RandomKidwhodoesstuf]

This is correct

[@-a5624]

how did you know to differentiate?