교과서 질문
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
5장, 문제 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?
검증된 단계별 안내1
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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이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
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주요 개념
질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.
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.
추천 영상:
가이드 코스
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.
추천 영상:
가이드 코스
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.
추천 영상:
가이드 코스
08:11Static Friction & Equilibrium
관련 실천
교과서 질문
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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교과서 질문
Find the tension in each cord in Fig. E if the weight of the suspended object is .
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교과서 질문
A large wrecking ball is held in place by two light steel cables (Fig. E). If the mass m of the wrecking ball is kg, what are the (a) tension in the cable that makes an angle of with the vertical and (b) the tension in the horizontal cable?
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교과서 질문
A picture frame hung against a wall is suspended by two wires attached to its upper corners. If the two wires make the same angle with the vertical, what must this angle be if the tension in each wire is equal to of the weight of the frame? (Ignore any friction between the wall and the picture frame.)
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