A uniform ladder of length L and mass m leans against a frictionless vertical wall, making...

60.1K

Verified Solution

Question

Physics

A uniform ladder of length L and mass m leans against africtionless vertical wall, making an angle of 57Â° with thehorizontal. The coefficient of static friction between the ladderand the ground is 0.42. If your mass is four times that of theladder, how high can you climb before the ladder begins toslip?
L

Answer & Explanation Solved by verified expert

3.9 Ratings (472 Votes)

Our overall goal is to solve for some distance x1 from the ground on the line along the ladder that a person can stand without causing the ladder to slip Our answer should be solved in terms of the length of the ladder L the static coefficient of friction the ladder has with the ground mu and the angle the ladder forms with the horizontal beta First I would draw a FBD or freebodydiagram of the ladder Outlined on this diagram would be all the forces acting on the ladder These include Normal forces N1 normal force acting horizontal on top end of ladder touching the frictionless wall N2 normal force acting vertically up on the bottom of the ladder touching the ground with friction Friction forces Ff See Answer

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member