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 rope?
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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 1b
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?
Guida verificata passo dopo passo1
Step 1: Begin by analyzing the forces acting on the pulley. The pulley is in equilibrium, meaning the net force acting on it is zero. The tension in the chain must balance the combined forces exerted by the two weights.
Step 2: Each weight exerts a force of 25.0 N downward due to gravity. Since the rope is frictionless and the pulley is light, the tension in the rope is the same on both sides of the pulley.
Step 3: The total downward force exerted on the pulley is the sum of the tensions from both sides of the rope. This is given by \( F_{total} = T_{rope} + T_{rope} \), where \( T_{rope} \) is the tension in the rope caused by each weight.
Step 4: Substitute the value of \( T_{rope} \) (which is equal to the weight of each object, 25.0 N) into the equation. The total downward force becomes \( F_{total} = 25.0 \text{ N} + 25.0 \text{ N} \).
Step 5: The tension in the chain must equal the total downward force to maintain equilibrium. Therefore, the tension in the chain is equal to \( F_{total} \).
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Tension in a Rope
Tension is the force transmitted through a rope or string when it is pulled tight by forces acting from opposite ends. In this scenario, the tension in the rope is equal to the weight of the objects suspended, as they are in equilibrium. Since both weights are equal, the tension in the rope will be the same as the weight of one of the objects.
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Percorso guidato
06:34
Calculating Tension in a Pendulum with Energy Conservation
Equilibrium
Equilibrium occurs when all the forces acting on an object are balanced, resulting in no net force and no acceleration. In this case, the two weights are equal and opposite, leading to a state of equilibrium. This principle allows us to analyze the forces in the system and determine the tension in the chain.
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10:13Torque & Equilibrium
Pulley Systems
A pulley system consists of a wheel on an axle or shaft designed to support movement and change the direction of force. In this problem, the frictionless pulley allows the weights to move freely without resistance, simplifying the analysis of forces. The tension in the chain must support the total weight of the system, which is crucial for calculating the tension.
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Percorso guidato
06:23Systems Connected By Pulleys
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