A 20.0- m -long uniform beam weighing 700 N rests on walls A and B a. Find the m

Question

A 20.0-m-long uniform beam weighing 700N rests on walls A and B

a. Find the maximum weight of a person who can walk to the extreme end

D without tipping the beam.

b. Find the forces that the walls

A and B exert on the beam when the person is standing at D

c.Find the forces that the walls

A and B exert on the beam when the person is standing at a point 2.2m to the right of B

d. Find the forces that the walls

A and B exert on the beam when the person is standing 2.0m to the right of A.

A 20.0-m-long uniform beam weighing 700N rests on walls A and B Find the maximum weight of a person who can walk to the extreme end D without tipping the beam. Find the forces that the walls A and B exert on the beam when the person is standing at D Find the forces that the walls A and B exert on the beam when the person is standing at a point 2.2m to the right of B Find the forces that the walls A and B exert on the beam when the person is standing 2.0m to the right of A.

Explanation / Answer

a) m*g*5 = W*5

W= 700 N (maximum weight)

b) FA = 0

FB = 700 + 700 = 1400 N

c)

let FA and FB are the forces exerted by walls

net toruqe about point B is zero.

-700*2.2 + 700*5 + FA*12 = 0

FA = (700*5 - 700*2.2)/12

= 163.33 N

net force in y direction = 0

FA + FB - 700 - 700 = 0

FB = 1400 - 163.33

FB = 1236.66 N


d)
let FA and FB are the forces exerted by walls

net toruqe about point B is zero.

-700*2 + 700*5 + FA*12 = 0

FA = (700*5 - 700*2)/12

= 175

net force in y direction = 0

FA + FB - 700 - 700 = 0

FB = 1400 - 175

FB = 1225 N

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