Calculate Max Speed of Truck on Unbanked Curve Without Eggs Sliding

[Paymemoney]

so if i use the F= N - mg

mg = N - mg

9.8 = N -9.8

N= 19.6N

however when i done it this way and i found the velocity to be the right answer as the book.

To answer your question would it be fsmax = [tex]\mu * mg[/tex]

 

[Doc Al]

however when i done it this way and i found the velocity to be the right answer as the book.

You might get lucky now and then, but that method makes no sense. Learn how to do it right, then you're good to go no matter what.

To answer your question would it be fsmax = [tex]\mu * mg[/tex]

OK. That's the net force providing the centripetal acceleration. Use Newton's 2nd law to find the velocity.

 

[Paymemoney]

do i use the equation [tex]F=\frac{mv^2}{r}[/tex]??

 

[Doc Al]

do i use the equation [tex]F=\frac{mv^2}{r}[/tex]??

Yes, where F is the friction force (in this case).

 

[Paymemoney]

ok i understand so:
[tex]\mu * N = \frac{mv^2}{r}[/tex]

[tex]r(\mu * mg) = mv^2[/tex]

cancel m's


[tex]r * \mu * g = v^2[/tex]

then sub in values to get final answer of 14.3m/s

 

[Doc Al]

Exactly.