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Applying NLM along 3 Axis

.The ladder s...

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.The ladder shown in figure has negligible mass and rests onfrictionless floor. A crossbar connects the two legs of theladder at the centre as shown. The angle between the twolegs is 60- The fat person sitting on the ladder has a massof 80 kg. Find the constant forces exerted by thefloor on each leg and the tension in the crossbar.1m60^° 30imSmooth

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Q. The ladder shown in figure has negligible mass and rests on a frictionless floor. The crossbar connects the two legs of the ladder at the center as shown. The angle between the two legs is

60^{\circ} .

The fat person sitting on the ladder has a mass of

80 k g

. Find the contact force exerted by the floor on each leg and the tension in the crossbar.

Q. Two identical ladders are arranged as shown in figure. Mass of each ladder is

M

L

. A load of mass

m

has been attached at the touching point

(O)

of the ladders, as shown in figure. The system is in equilibrium. Find the magnitude of static frictional force acting at either point

A

B

6.5 m

long ladder rests against a vertical wall reaching a height of

6.0 m

60 k g

man stands halfway up the ladder.
(a) Find the torque of the force exerted by the man on the ladder about the upper end of the ladder.
(b) Assuming the weight of the ladder to be negligible as compared to the man and assuming the wall to be smooth. find the force exerted by the ground on the ladder.

Q. As shown in the figure, the two sides of a step ladder

B A

C A

1.6 m

long and hinged at

A

D E

0.5 m

is tied halfway up. A weight

40 k g

is suspended from a point

F

1.2 m

B

along the ladder

B A

. Assuming the floor to be frictionless and neglecting the weight of the ladder, find the tension in the rope and forces exerted by the floor on the ladder. (Take

g = 9.8 m^{2}

)
(Hint: Consider the equilibrium of each side of the ladder separately)

Q. A uniform ladder of mass 10 kg leans against a smooth wall making an angle of

53^{o}

with it. The other end rests on a rough horizontal floor. The frictional force exerted by floor on the ladder is nearly

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