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Choose the correct option or options: (a) Tension force always pulls a body (b) Tension can never push a body or rope (c) Tension across massless or frictionless pulley remains constant (d) Rope becomes slack when tension force becomes zero (e) All of the above

Short Answer

Expert verified
e) All of the above

Step by step solution

01

Understanding Tension Force

Tension is a force that is transmitted through a string, rope, cable or any object that can pull or exert force along its length. It always acts away from the object, meaning it pulls rather than pushes.
02

Tension Cannot Push

Since tension is a pulling force, it cannot push a body or rope. This is a fundamental characteristic of tension.
03

Analyzing Tension Across Pulley

When a rope passes over a frictionless and massless pulley, the tension on both sides of the pulley remains the same. This helps in simplifying problems as it implies a constant tension.
04

Condition of Slack Rope

A rope becomes slack when the tension in it becomes zero. In this state, the rope is not taut and does not transmit any force.
05

Choosing the Correct Options

Based on the explanations, all statements (a, b, c, d) are true about tension force. Therefore, the correct option is (e) all of the above.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Frictionless Pulley
Whenever we talk about a pulley system in physics, terms like 'frictionless' and 'massless' often pop up. In an ideal scenario, where a pulley is frictionless, it means that there's no force trying to stop or resist the motion of the pulley. This is an important concept because it simplifies many calculations, especially the analysis of tension. If a rope is draped over a frictionless pulley, the tension in the rope is the same on both sides.
  • Imagine pulling a looped chain over a bar. If there's no gripping or friction, both arms of the chain will experience the same pull.
  • This symmetry allows us to make approximations and solve problems without complex friction calculations.
Remember, the assumption of a frictionless pulley is an idealization. In real-world situations, some friction usually exists, but it is often negligible depending on the problem at hand.
Slack Rope Condition
When a rope becomes slack, it means the tension in it has dropped to zero. Imagine a tightly pulled string that suddenly goes loose because you're no longer exerting force on it. That's a slack condition. A slack rope cannot transmit force because it's not taut. Tension is absent in a slack rope, which is crucial because:
  • No force is being transmitted to the object the rope is attached to.
  • It's an indicator that external forces are balanced or missing, causing the slack.
A slack rope condition is essential in safety assessments, ensuring that ropes and strings used in various mechanical setups are always under the required tension to function correctly.
Characteristics of Tension Force
Tension is a unique force with several distinct characteristics that make it different from other forces. One of the key attributes of tension is that it only has a pulling effect. Unlike forces that can compress or push, tension pulls objects along the direction of the string or rope.
  • This force is internal to the rope or cable and acts to stretch it.
  • It works uniformly throughout the rope unless acted upon by other external forces or constraints.
  • Tension force always pulls against the ends of the rope it resides in.
Understanding the characteristics of tension is fundamental in solving problems related to mechanics, as it aids in determining the forces acting on bodies connected by strings or ropes.
Tension in Strings and Ropes
Tension in strings and ropes is a concept often encountered in various physical setups, including block and pulley systems, or when analyzing forces on hanging bodies. Here's what you need to know:
  • Tension arises from the force exerted by an object pulling on another object via a string or rope.
  • If the rope or string has negligible mass, the tension is assumed to be constant along its length, unless external forces like knots or pulleys are introduced.
  • It's a crucial component when calculating net forces and understanding equilibrium in mechanical systems.
Knowing how to calculate and conceptualize tension in these mediums allows for better modeling in both simple and complex physics problems.

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Most popular questions from this chapter

A chain consisting of 5 links each of mass \(0.1 \mathrm{~kg}\) is lifted vertically with a constant acceleration of \(2.5 \mathrm{~m} / \mathrm{s}^{2}\) as shown in the figure. The force of interaction between the top link and the link immediately below it, will be : (a) \(6.15 \mathrm{~N}\) (b) \(4.92 \mathrm{~N}\) (c) \(3.69 \mathrm{~N}\) (d) \(2046 \mathrm{~N}\)

A heavy block of mass \(m\) is supported by a cord \(C\) attached to the ceiling, and another cord \(D\) is attached to the bottom of the block. If a sudden jerk is given to \(D\), then: (a) cord C breaks (b) cord \(D\) breaks (c) cord \(C\) and \(D\) both break (d) none of the cords breaks

Fine particles of a substance are to be stored in a heap on a horizontally circular plate of radius \(a\). if the coefficient of static friction between the particles is \(k\). The maximum possible height of cone is: (a) \(a k\) (b) \(\frac{a}{2} k\) (c) \(a / k\) (d) \(a k^{2}\)

Two blocks of masses \(M=3 \mathrm{~kg}\) and \(m=2 \mathrm{~kg}\) are in contact on a horizontal table. A constant horizontal force \(F=5 \mathrm{~N}\) is applied to block \(M\) as shown. There is a constant frictional force of \(2 \mathrm{~N}\) between the table and the block \(m\) but no frictional force between the table and the first block \(M\), then acceleration of the two blocks is: (a) \(0.4 \mathrm{~ms}^{-2}\) (b) \(0.6 \mathrm{~ms}^{-2}\) (c) \(0.8 \mathrm{~ms}^{-2}\) (d) \(1 \mathrm{~ms}^{-2}\)

A weight \(W\) is suspended from the midpoint of a rope, whose ends are at the same level. In order to make the rope perfectly horizontal, the force applied to each of its ends must be : (a) less than \(W\) (b) equal to \(W\) (c) equal to \(2 \mathrm{~W}\) (d) infinitely large

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