(b) A 5-N frictional force now acts on A. To maintain the acceleration (at 8 m/s

Question

(b) A 5-N frictional force now acts on A. To maintain the acceleration (at 8 m/s^2), the person must now pull down on B with force _______; the tension In the connecting cord Is now _____. 5. (22) A ladder weighing 150 N leans against e frictionless wall, which exerts a horizontal 80-N force on the ladders top. Its foot l 2.4 m from the wall. (a) Find the frictional force and the vertical force-component the ground exerts on the ladders foot. Draw In the diagram the line of action of the force with these components (connect the foot with the relevant point). (b) Calculate the gravitational torque about the foot (treating that as pivot).

Explanation / Answer

a) along horizontal balancing forces,

f - 80 = 0

f = 80 N

in vertical,

Ny - 150 = 0

Ny = 150 N

b) suppose height is h.

then length of ladder L = sqrt(h^2 + 2.4^2)

gravitatioanl torque = (L/2) x 150 x cos@

and cos@ = 2.4/L

= (L/2) x 150 x 2.4 / L = 180 N m

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