Suppose the friction coefficient between the ground and the ladder of the previous problem is 0.540. Find the maximum weight of a mechanic who could go up and do the work from the same position of the ladder.

The mass of the mechanic that can go up the ladder at the same position is


Given


The length of the ladder is 10 m, the mass of the ladder is given as 16 kg which makes angle of 37o, the weight of the electrician is 60 kg, which stays at height of 8 cm and the coefficient of friction in the bottom of the ladder is


Formula Used


The formula used to find the acceleration of the mass pulled/pushed is determined by the second law of Newton when the Force/Tension applied is equivalent to the product of mass and acceleration



where


F is the force of the mass in terms of reactionary force, is the coefficient of friction and N is the reactionary force of the object.


Explanation


The value of the reactionary force and another value of


Now finding the relationship between and , we get the value as



Hence, the value of the reactionary forces is




Now to calculate the mass of the mechanic that can go up the ladder with the above given conditions is





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