A uniform ladder of mass 21 kg and length 6.2 m leans against a smooth wall at an angle 64° with respect to the ground. A person of mass 65 kg climbs up the ladder to a point two-thirds of the way to the top. Assume that there is no friction between the top of the ladder and the wall. Compute the minimum coefficient of static friction between the ladder and the ground that would prevent the ladder from slipping. The acceleration of gravity is 9.8 m/s2.

A uniform ladder of mass 21 kg and length 6.2 m leans against a smooth wall at an angle 64° with respect to the ground. A person of mass 65 kg climbs up the ladder to a point two-thirds of the way to the top. Assume that there is no friction between the top of the ladder and the wall. Compute the minimum coefficient of static friction between the ladder and the ground that would prevent the ladder from slipping. The acceleration of gravity is 9.8 m/s2.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

A bicycle and rider, travelling at 12 km/h on a level road, have a mass of 105 kg. A brake is applied to the rear wheel which is 800 mm in diameter. The pressure on the brake is 80 N and the coefficient of friction is 0.06. Find the distance covered by the bicycle and number of turns of its wheel before coming to rest.
Problem 6: At a post office, a parcel that is an m kg box slides down a ramp inclined at an angle θ with the horizontal, as shown. The coefficient of kinetic friction between the box and the ramp is μK, and the coefficient of static friction for the same is μS. Notice that the coordinate axes have been chosen with the x axis directed up the incline, as shown. Part (b) Input an expression for the net force in the x direction consistent with the coordinate axes on the diagram. Express your answer in terms of the mass of the box, m, the acceleration due to gravity, g, the angle of the incline, θ, the magnitude of the normal vector FN, and appropriate coefficients of friction. The coefficient of kinetic friction between the box and the ramp is μK, and the coefficient of static friction for the same is μS. Part (c) Input an expression for the net force in the y direction consistent with the coordinate axes on the diagram. Express your answer in terms of the mass of the box, m, the…
• Draw a free body diagram of the box on the incline. . Determine the weight (W) of the box on the incline surface. Determine the normal force (N) acting on the inclined box. Determine the friction force (F) acting on the inclined box. ● 7. A box of unknown weight is being pulled on a = 39 degree inclined surface by a frictionless pully system attached to a 540 pound box hanging off the pully. The coefficient of static friction between the box and the inclined surface is μ = 0.33 and both boxes are not moving. Answer the questions below: ● W= N = Ff= 0 W lbs lbs lbs 540 lbs
5. A box with a mass of 100 kg was originally attached to the spring at position A. After that, pressure was applied to the box until The spring compresses to a distance of X - 1 m and releases it, causing the box to move upwards along the inclined floor. If the incline has and = the coefficient of friction uk = 0.3, find the box that can travel along the incline for a maximum distance in meters.
Lost on this one, any help would be appreciated. Check all possible motions
A uniform ladder of mass 21kg and length 6.2m leans against a smooth wall at an angle 64 degrees with respect to the ground. A person of mass 65kg climbs up the ladder to a point two-thirds of the way to the top. Assume that there is no friction between the top of the ladder and the wall. Compute the minimum coefficient of static friction between the ladder and the ground that would prevent the ladder from slipping. The acceleration of gravity is 9.8 m/s^2.
In an amusement park ride, riders stand against the vertical wall of a spinning cylinder. The floor falls away and the riders are held up by friction. If the radius of the cylinder is R, find the minimum number of revolutions per time necessary if the coefficient of friction between a rider and the wall is given.
The 114-kg crate of the figure below is being moved by a rope that passes over a smooth pulley. The coefficient of friction between the crate and the floor is 0.4. If h = 4 m, determine the force P necessary to produce impending motion in N. 2 m 5 m h
A carnival ride has people stand inside a vertical cylinder with their backs to the wall. The cylinder starts spinning and the riders find that they are “stuck” to the wall and don’t slide down, even if the floor is removed. The ride has a radius of r. The person has a mass of m and is moving with a constant speed of v. The coefficient of static friction between the person and the wall is μs , and kinetic friction μk. The person is only touching the wall, not touching the floor. What is the magnitude of the acceleration of the person? In what direction does it point? The speed is constant. Why is the acceleration not zero? Briefly explain. No equations!
Two blocks A and B are connected by a horizontal bar whose mass is negligible. The mass of block A is 100-kg and the mass of block B is 50-kg. What force P will just prevent the blocks from slipping down the plane? The coefficient of friction between block A and the inclined surface is o.20, 30 while that of block B and the inclined surface is 0.30.
A box of mass m is resting in the flat bed of a truck which is stopped at a red light on a road which slopes upward at an angle qabove the horizontal. The coefficients of friction between the box and the truck bed are given by μs and μk.The light turns green and the truck begins to accelerate.Write all answers in terms of variables given in the problem and any appropriate constants. 1)Find the work done by friction as the box slides to the back of the truck in terms of m, L, μk, q, and any appropriate constants.
Statics and rigid bodies: Please Show me how to solve the following practice problem. In step by step solution ( Thank you! :) )