Calculate Max Speed of Truck on Unbanked Curve Without Eggs Sliding

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Homework Help Overview

The discussion revolves around two distinct physics problems: one involving the motion of a probe launched from the Moon and another concerning the maximum speed of a truck negotiating an unbanked curve without causing a crate of eggs to slide. The first problem relates to circular motion and gravitational acceleration, while the second focuses on static friction and centripetal acceleration in a vehicle dynamics context.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants explore the relationship between speed, radius, and gravitational forces in circular motion. There are attempts to apply formulas for centripetal acceleration and static friction, with some questioning the correctness of their calculations and assumptions.

Discussion Status

Several participants have provided insights into the equations governing circular motion and static friction. There is an ongoing exploration of how to derive necessary values, such as normal force and maximum static friction, while others are clarifying their understanding of the relationships between variables involved in the problems.

Contextual Notes

Participants are navigating through the complexities of circular motion, including the implications of using static friction in the context of the truck problem. There are mentions of specific values, such as the radius of the curve and the coefficient of static friction, which are critical to the discussions but may not be fully resolved.

  • #31
Paymemoney said:
wouldn't that be mg?
Sure. That's all you need.
 
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  • #32
but how do i know the mass??
 
  • #33
You don't need it. Use call the mass "m" and you'll see it cancels out.
 
  • #34
so if i use the F= N - mg

mg = N - mg

9.8 = N -9.8

N= 19.6N
 
  • #35
Paymemoney said:
but how do i know the mass??
You don't and it doesn't matter. Just use N = mg.

Paymemoney said:
so if i use the F= N - mg

mg = N - mg

9.8 = N -9.8

N= 19.6N
No. The vertical forces add to zero, so 0 = N - mg, thus N = mg.

Now go back to analyzing the friction force. Now that you have an expression for N, how would you express the maximum static friction? Plug that into Newton's 2nd law.
 
  • #36
Paymemoney said:
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 = \mu * mg
 
  • #37
Paymemoney said:
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 = \mu * mg
OK. That's the net force providing the centripetal acceleration. Use Newton's 2nd law to find the velocity.
 
  • #38
do i use the equation F=\frac{mv^2}{r}??
 
  • #39
Paymemoney said:
do i use the equation F=\frac{mv^2}{r}??
Yes, where F is the friction force (in this case).
 
  • #40
ok i understand so:
\mu * N = \frac{mv^2}{r}

r(\mu * mg) = mv^2

cancel m's


r * \mu * g = v^2

then sub in values to get final answer of 14.3m/s
 
  • #41
Exactly.
 

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