A beam resting on two pivots has a length of L = 6.00 m and mass M = 92.0 kg.The pivot under the left end exerts a normal force n1on the beam, and the second pivot placed a distance ℓ = 4.00 m from the left end exerts a normal force n2. A woman of mass m = 62.5 kg steps onto the left end of the beam and begins walking to the right as in the figure below. The goal is to find the woman's position when the beam begins to tip.(a) Where is the woman when the normal force n1 is the greatest?x = ____m(b) What is n1 when the beam is about to tip?____ N(c) Use the force equation of equilibrium to find the value of n2 when the beam is about to tip.____ N The diagram illustrates a beam balance problem, often studied in physics to understand equilibrium and forces.**Description:**- A person with mass \(m\) is walking on a beam.- The beam has a total length of \(L\) and is supported by two fulcrums, represented by triangular supports.- The distance from the left end of the beam to the person is denoted as \(x\).- The beam itself has a mass of \(M\).- The distance from the right support to the right end of the beam is \(\ell\).**Concepts Illustrated:**- **Balance and Equilibrium:** Understanding how the distribution of weight affects the balance of a rigid body.- **Torque:** The principle that the sum of torques around any fulcrum should be zero for the beam to be in equilibrium. The problem typically involves solving for the conditions under which the beam remains balanced as the person walks across it. This includes considering the forces and torques exerted by both the person and the beam.

(a) Condition for rotational equilibrium τnet=0n2l-mgx-MgL2=0n2=mgx+MgL2l

Answered: A beam resting on two pivots has a…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A beam resting on two pivots has a length of L = 6.00 m and mass M = 92.0 kg.The pivot under the left end exerts a normal force n₁on the beam, and the second pivot placed a distance ℓ = 4.00 m from the left end exerts a normal force n₂. A woman of mass m = 62.5 kg steps onto the left end of the beam and begins walking to the right as in the figure below. The goal is to find the woman's position when the beam begins to tip.

(a) Where is the woman when the normal force n₁is the greatest?

x = ____m

(b) What is n₁when the beam is about to tip?
____ N

The diagram illustrates a beam balance problem, often studied in physics to understand equilibrium and forces.

**Description:**
- A person with mass \(m\) is walking on a beam.
- The beam has a total length of \(L\) and is supported by two fulcrums, represented by triangular supports.
- The distance from the left end of the beam to the person is denoted as \(x\).
- The beam itself has a mass of \(M\).
- The distance from the right support to the right end of the beam is \(\ell\).

**Concepts Illustrated:**
- **Balance and Equilibrium:** Understanding how the distribution of weight affects the balance of a rigid body.
- **Torque:** The principle that the sum of torques around any fulcrum should be zero for the beam to be in equilibrium.

The problem typically involves solving for the conditions under which the beam remains balanced as the person walks across it. This includes considering the forces and torques exerted by both the person and the beam.

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