Domanda del libro di testo
Two -N weights are suspended at opposite ends of a rope that passes over a light, frictionless pulley. The pulley is attached to a chain from the ceiling. What is the tension in the chain?
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Ch 05: Applying Newton's Laws
Young & Freedman Calc14th EditionUniversity PhysicsISBN: 9780321973610
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TOC.tableOfContents
- Ch 01: Units, Physical Quantities & Vectors41
- Ch 02: Motion Along a Straight Line67
- Ch 03: Motion in Two or Three Dimensions47
- Ch 04: Newton's Laws of Motion23
- Ch 05: Applying Newton's Laws59
- Ch 06: Work & Kinetic Energy14
- Ch 07: Potential Energy & Conservation8
- Ch 08: Momentum, Impulse, and Collisions18
- Ch 09: Rotation of Rigid Bodies42
- Ch 10: Dynamics of Rotational Motion48
- Ch 11: Equilibrium & Elasticity27
- Ch 12: Fluid Mechanics31
- Ch 13: Gravitation35
- Ch 14: Periodic Motion32
- Ch 15: Mechanical Waves25
- Ch 16: Sound & Hearing32
- Ch 17: Temperature and Heat36
- Ch 18: Thermal Properties of Matter38
- Ch 19: The First Law of Thermodynamics33
- Ch 20: The Second Law of Thermodynamics22
- Ch 21: Electric Charge and Electric Field36
- Ch 22: Gauss' Law24
- Ch 23: Electric Potential31
- Ch 24: Capacitance and Dielectrics18
- Ch 25: Current, Resistance, and EMF26
- Ch 26: Direct-Current Circuits30
- Ch 27: Magnetic Field and Magnetic Forces18
- Ch 28: Sources of Magnetic Field10
- Ch 29: Electromagnetic Induction28
- Ch 30: Inductance17
- Ch 31: Alternating Current21
- Ch 32: Electromagnetic Waves1
- Ch 33: The Nature and Propagation of Light20
- Ch 34: Geometric Optics34
- Ch 35: Interference19
- Ch 36: Diffraction25
- Ch 37: Special Relativity20
- Ch 38: Photons: Light Waves Behaving as Particles15
- Ch 39: Particles Behaving as Waves26
- Ch 40: Quantum Mechanics I: Wave Functions21
- Ch 41: Quantum Mechanics II: Atomic Structure25
- Ch 42: Molecules and Condensed Matter18
- Ch 43: Nuclear Physics16
- Ch 44: Particle Physics and Cosmology23
Young & Freedman Calc14th EditionUniversity PhysicsISBN: 9780321973610Non è quello che usi tu?Cambia libro di testo
Capitolo 5, Problema 3b
A -kg wrecking ball hangs from a uniform, heavy-duty chain of mass kg. What is the tension at a point three-fourths of the way up from the bottom of the chain?
Guida verificata passo dopo passo1
Identify the forces acting on the chain and the wrecking ball. The tension at any point in the chain must support the weight of the wrecking ball and the portion of the chain below that point. Use the concept of distributed weight for the chain and treat the wrecking ball as a point mass.
Calculate the total weight of the wrecking ball using the formula: , where is the mass of the wrecking ball (75.0 kg) and is the acceleration due to gravity (9.8 m/s²).
Determine the weight of the chain below the point three-fourths of the way up. The chain has a total mass of 26.0 kg, so the mass of the chain below this point is one-fourth of the total chain mass. Use the formula: , where is the mass of the chain below the point.
Add the weight of the wrecking ball and the weight of the chain below the point to find the total force that the tension must support at this location. Use the formula: .
Substitute the known values into the equations and simplify to find the tension at the specified point. Ensure that the units are consistent throughout the calculation.
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Concetti chiave
Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.
Tension in a Chain
Tension is the force exerted along the length of a chain or rope when it is subjected to a load. In this scenario, the tension varies along the chain due to the weight of the chain itself and the wrecking ball. The tension at any point in the chain can be calculated by considering the weight of the chain below that point and any additional loads acting on it.
Video consigliato:
Percorso guidato
06:34
Calculating Tension in a Pendulum with Energy Conservation
Weight and Mass
Weight is the force exerted by gravity on an object, calculated as the product of its mass and the acceleration due to gravity (approximately 9.81 m/s² on Earth). In this problem, both the wrecking ball and the chain have mass, and their combined weight contributes to the tension experienced at different points in the chain.
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Percorso guidato
10:19Torque Due to Weight
Static Equilibrium
Static equilibrium occurs when an object is at rest and the sum of all forces acting on it is zero. In this context, the wrecking ball and the chain are in static equilibrium, meaning the upward tension forces must balance the downward gravitational forces. Understanding this principle is crucial for analyzing the forces at play in the system.
Video consigliato:
Percorso guidato
08:11Static Friction & Equilibrium
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Two -N weights are suspended at opposite ends of a rope that passes over a light, frictionless pulley. The pulley is attached to a chain from the ceiling. What is the tension in the rope?
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