The figure shows a 4.20-kg, 1.80-m-long rod hinged to a vertical wall and supported by a thin wire. The wire and rod each make angles of 45° with the vertical. When a 10.0-kg block is suspended from the midpoint of the rod, the tension $ T $ in the supporting wire is 49.3 N. The wire will break when the tension exceeds 75.0 N.**Diagram Explanation:**The diagram illustrates a rod attached to a wall at one end, forming a hinge. A thin wire extends from the wall to the rod, and both the wire and rod are angled at 45° relative to the vertical plane. A 10.0-kg block is hanging from the midpoint of the rod. The tensions and forces acting in this static system are essential for understanding equilibrium and maximum load capacity.**Problem:**What is the maximum distance $ d_{max} $ from the hinge from which the block can be suspended?\[ d_{max} = \text{______} \, \text{m} \]**Tipler & Mosca, Physics for Scientists and Engineers, 6e © 2008 W.H. Freeman and Company**

solution: Given that, the mass of the rod, M = 4.20 kg. The length of the rod, L = 1.80 m. The wire…

The figure shows a 4.20-kg, 1.80-m-long rod hinged to a vertical wall and supported by a thin wire. The wire and rod each make angles of 45° with the vertical. When a 10.0-kg block is suspended from the midpoint of the rod, the tension T in the supporting wire is 49.3 N. The wire will break when the tension exceeds 75.0 N. 45° 45° T 10kg Tipler & Mosca, Physics for Scientists and Engineers, 6e © 2008 W.H. Freeman and Company What is the maximum distance dmax from the hinge from which the block can be suspended? dmax = m

The figure shows a 4.20-kg, 1.80-m-long rod hinged to a vertical wall and supported by a thin wire. The wire and rod each make angles of 45° with the vertical. When a 10.0-kg block is suspended from the midpoint of the rod, the tension T in the supporting wire is 49.3 N. The wire will break when the tension exceeds 75.0 N. 45° 45° T 10kg Tipler & Mosca, Physics for Scientists and Engineers, 6e © 2008 W.H. Freeman and Company What is the maximum distance dmax from the hinge from which the block can be suspended? dmax = m

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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Concept explainers

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.

Question

The figure shows a 4.20-kg, 1.80-m-long rod hinged to a vertical wall and supported by a thin wire. The wire and rod each make angles of 45° with the vertical. When a 10.0-kg block is suspended from the midpoint of the rod, the tension $ T $ in the supporting wire is 49.3 N. The wire will break when the tension exceeds 75.0 N.

**Diagram Explanation:**

The diagram illustrates a rod attached to a wall at one end, forming a hinge. A thin wire extends from the wall to the rod, and both the wire and rod are angled at 45° relative to the vertical plane. A 10.0-kg block is hanging from the midpoint of the rod. The tensions and forces acting in this static system are essential for understanding equilibrium and maximum load capacity.

**Problem:**

What is the maximum distance $ d_{max} $ from the hinge from which the block can be suspended?

\[ d_{max} = \text{______} \, \text{m} \]

**Tipler & Mosca, Physics for Scientists and Engineers, 6e © 2008 W.H. Freeman and Company**

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