A uniform ladder 8m long and weighing 350N rests against a smooth vertical wall at an angle of 30 ̊to the wall. A 700 N man stands 6m up from the bottom of the ladder. Find the horizontal force necessary at the base to keep the ladder from skipping?

Q: A construction worker of mass m, = 69.6 kg stands on a uniform ladder a distance d = 0.9 m from the…

A: Given:- mass of the worker m1 = 69.6 kg at a distance d on a ladder from the ground  The mass of the…

Q: The following figure shows a 4 m bar attached to the wall through a hinge that rotates freely, but…

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Q: A beam of negligible mass, supported by a hinge, holds two steel balls as shown in the figure.…

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Q: A uniform rod weighs 40 N and is 1.0 m long. It is hinged to a wall at the left end, and held in a…

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Q: A uniform board of length L and weight W is suspended between two vertical walls by ropes of length…

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Q: A uniform beam of weight 100N is pivoted at P as shown. Weights of 10 N and 20 N are attached to its…

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Q: The drawing shows a firefighter standing on a uniform ladder of length L. The ladder leans against a…

A: The free-body diagram of the ladder leaning on a wall is shown below. Here, A denotes the axis of…

Q: For the stepladder shown in the figure, sides AC and CE are each 2.90 m long and hinged at C. Bar BD…

A: Weight of the person is given by, W= 684 N. AC=CE=2.90 m and the length of the tie-rod=0.668 m.

Q: A 900 N man, 165 cm tall lies on a center of gravity reaction board with his feet at the left end.…

A: Given-Weight of man BW =900 NHeight of man BH =165 cmLength of reaction board L=206 cmWeight of…

Q: In the figure below, the uniform 0.60-kN beam is hinged at P. What is the magnitude of the reaction…

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Q: A 40-kg uniform ladder that is 5.0 m long is placed against a smooth wall at a height of h = 4.0 m,…

A: Can be solved by simple torque balance.

Q: Why is the following situation impossible? A uniform beam of mass mb = 3.00 kg and length ℓ = 1.00 m…

A: The Torque equation for the system from Newton’s second law,

Q: A beam of length 5.4 meters is attached to the ground by a pin and is being held up by a horizontal…

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Q: Consider a ladder of length 3.30m and mass 18.0kg , leaning against a vertical wall and making an…

A: Mass of the ladder=18kg Mass of the pointer=74kg Coefficient of static friction on the floor=0.65

Q: The figure shows a uniform, horizontal beam (length = 10 m, mass = 25 kg) that is pivoted at the…

A: sum moment about pivot point no torque at pivot so t*10*sin51 =60*9.8*3+25*9.8*5 t*10*sin51 =2989

Q: Consider a ladder of length 3.30m and mass 18.0kg, leaning against a vertical wall and making an…

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Q: A horizontal 8.0 m long 57 N uniform bar at one end is attached to a wall by a frictionless hinge…

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Q: Cable 1 40 N Cable 2 1 m A uniform 50 N beam that is 10 m long is suspended horizontally by two…

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Q: A pole is attached to a wall with a hinge as shown. A sign is suspended at the other end of a pole,…

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Q: A person carries a plank of wood 2.0 m long with one hand pushing down on it at one end with a force…

A: The net force acting on a body is equal to mass times the acceleration of the body. If the net force…

Q: A uniform ladder with mass m; = 14kg and length L= 3.2m rests against a smooth wall. A…

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Q: A ladder is leaning against a vertical wall, and both ends of the ladder are at the point of…

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Q: A 2.50 [kg] block is positioned 2.25 [m] from the center of a long uniform beam. At what distance x…

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Q: A uniform ladder AB of weight W and length 21 rests with the end A against a smooth vertical wall…

A: Given:BC = 53lIf suppose there is a middle point O, then we have:AO = OB = lThu, AC = l3i) Along the…

Q: A uniform ladder is 15 m long and weighs 210 N. In the figure, the ladder leans against a vertical,…

A: Given, Length of ladder, L=15m Weight of ladder, W=210N Height above ground, h=6.5m Distance, d=1.6m

Q: uniform ladder of mass 35 kg and L=7m long is placed against a vertical wall at an angle of 68…

A: For equilibrium net forces as well as net torque acting on the system must be zero.

Q: A 6.00 m uniform beam of mass 17.0 kg is hinged to a vertical wall. The beam is kept in a stationary…

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Q: A uniform pole 20 feet long and weighing 80 lbs is supported by a boy 2 feet from end A and a man 5…

A: (given)       Uniform length of pole = 20 ft Weighing (W = 80 lbs) is supported by boy.        A boy…

Q: A rod is laying on top on two poles. The rod is uniform and has a length of 3.22 m. The left pole is…

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Q: A uniform beam of weight 12 N and length 10 m is mounted by a small hinge on a wall. The beam is…

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Q: The drawing shows a uniform horizontal beam attached to a vertical wall by a frictionless hinge and…

A: The beam is at rest and so the sum of the torques must equal zero. But we can choose about which…

Q: A diver of weight 510 N stands at the end of a diving board of length L = 4.9 m and negligible mass…

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Q: The drawing shows a uniform horizontal beam attached to a vertical wall by a frictionless hinge and…

A: Given data The weight of the beam is W = 340 N The angle applied force is θ = 44°

Q: A see-saw consists of a uniform board with mass 43.6kg and length l = 2.01m. It supports two friends…

A: For the see-saw to balance, the torques due to the forces acting on either sides should balance each…

Q: A uniform horizontal beam 5.00 m long and weighting 3.03  102 N is attached to a wall by a pin…

A: Please check the values of weights given in the problem and the values shown in the free body…

Q: A uniform meter stick has a 45.0 g mass placed at the 20 cm mark. If a pivot is placed at the 42.5…

A: Given: The mass of the object is 45 g. The length of the stick is 100 cm.

Q: As shown in the figure below, a stick of length L = 0.435 m and mass m = 0.300 kg is in contact with…

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Q: A 2.4 m ladder rests on a vertical wall as shown in the figure. The ladder has 7 rungs and the rungs…

A: Solution:

Q: A uniform ladder whose length is 6.0 m and whose weight is 430 N leans against a frictionless…

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Q: The drawing shows a uniform horizontal beam attached to a vertical wall by a frictionless hinge and…

A: W= 342N  Angle 35°

Q: Problem 8: A uniform ladder whose length is 5 meter and whose weight is 400 N leans against a…

A: Solution: Given that L = 5 m W = 400 N coefficient of static friction between the level ground and…

Q: uniform ladder 6m long weighs 225N. It leans against a smooth vertical wall, making an angel of 53°…

A: For equilibrium net force and net torque acting on the system must be zero.

Q: A ladder is leaning against a vertical wall, and both ends of the ladder are at the point of…

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Q: A 32.0 kg child sits on one end of a long uniform beam having a mass of 18.0 kg, and a 40.0 kg child…

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Q: A uniform ladder is 15 m long and weighs 210 N. In the figure, the ladder leans against a vertical,…

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Q: A 2.4 m ladder rests on a vertical wall as shown in the figure. The ladder has seven rungs and the…

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Q: Auniform ladder is 16 m long and weighs 180 N. In the figure, the ladder leans against a vertical,…

A: Given: L=16 mW = 180 Nh=10md=2.2 m

Q: A 73 kg man stands on a level bridge of length L. He is at distance L/4 from one end. The bridge is…

A: Since the system is in equilibrium, Since there is no force in the x-direction,

Q: A uniform plank of length 5.35 m and mass 26.9 kg rests horizontally across two horizontal bars of a…

A: suppose, the right scaffold part is free to walk by the painter.the distance from the center of mass…

Rotational Equilibrium And Rotational Dynamics

In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics. 

Equilibrium of Forces

The tension created on one body during push or pull is known as force.