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Standard XI
Physics
Solving Problems In Mechanics
Question

A $$10.0-kg$$ monkey climbs a uniform ladder with weight $$1.20\times 10^2\ N$$ and length $$L=3.00\ m$$ as shown in figure $$P12.24$$. The ladder rests against the wall and makes an angle of $$\theta =60.0^o$$ with the ground. The upper and lower ends of the ladder rest on frictionless surface. The lower end is connected to the wall by a horizontal rope that is frayed and can support a maximum tension of only $$80.0\ N$$.
Draw a force diagram for the ladder.

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Q1
A $$10.0-kg$$ monkey climbs a uniform ladder with weight $$1.20\times 10^2\ N$$ and length $$L=3.00\ m$$ as shown in figure $$P12.24$$. The ladder rests against the wall and makes an angle of $$\theta =60.0^o$$ with the ground. The upper and lower ends of the ladder rest on frictionless surface. The lower end is connected to the wall by a horizontal rope that is frayed and can support a maximum tension of only $$80.0\ N$$.
Draw a force diagram for the ladder.

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Q2
A $$10.0-kg$$ monkey climbs a uniform ladder with weight $$1.20\times 10^2\ N$$ and length $$L=3.00\ m$$ as shown in figure $$P12.24$$. The ladder rests against the wall and makes an angle of $$\theta =60.0^o$$ with the ground. The upper and lower ends of the ladder rest on frictionless surface. The lower end is connected to the wall by a horizontal rope that is frayed and can support a maximum tension of only $$80.0\ N$$.
Find the normal force exerted on the bottom of the ladder.

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Q3
A $$10.0-kg$$ monkey climbs a uniform ladder with weight $$1.20\times 10^2\ N$$ and length $$L=3.00\ m$$ as shown in figure $$P12.24$$. The ladder rests against the wall and makes an angle of $$\theta =60.0^o$$ with the ground. The upper and lower ends of the ladder rest on frictionless surface. The lower end is connected to the wall by a horizontal rope that is frayed and can support a maximum tension of only $$80.0\ N$$.
Find the tension in the rope when the monkey is two-thirds of the way up the ladder.

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Q4
A uniform ladder of length $$L$$ and mass $$m_1$$ rests against a frictionless wall. The ladder makes an angle $$\theta$$ with the horizontal.
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Q5

A uniform ladder of length 10.0 m and mass 16.0 kg is resting against a vertical wall making an angle of 37 ∘ with it. The vertical wall is frictionless but the ground is rough. An electrician weighing 60.0 kg climbs up the ladder. If he stays on the ladder at a point 8.00 m from the lower end, what will be the normal force and the force of friction on the ladder by the ground ? What should be the minimum coefficient of friction for the electrician to work safely ?

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