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If a hypothetical force termed inertia force is to act on the body in addition to external force P, Then the body would hypothetically come to a state of equilibrium. This is the statement as per:

If a hypothetical force termed inertia force is to act on the body in addition to external force P, Then the body would hypothetically come to a state of equilibrium. This is the statement as per: Correct Answer <span style="">D Alembert’s principle </span>

Concept:

  • D'Alembert showed that one can transform an accelerating rigid body into an equivalent static system by adding the so-called "inertial force" and "inertial torque" or moment.
  • The inertial force must act through the center of mass and the inertial torque can act anywhere. The system can then be analyzed exactly as a static system subjected to this "inertial force and moment" and the external forces.
  • The advantage is that in the equivalent static system one can take moments about any point (not just the center of mass).
  • This often leads to simpler calculations because any force (in turn) can be eliminated from the moment equations by choosing the appropriate point about which to apply the moment equation (sum of moments = zero).
  • Even in the course of Fundamentals of Dynamics and Kinematics of machines, this principle helps in analyzing the forces that act on a link of a mechanism when it is in motion. 

Related Questions

Mr.Rohan while helping the students of Class IV in adding and subtracting fractions observed that several students are not able to complete the addition of two improper fractions. He gave a small test with questions from the addition of proper fractions (one item of addition of two similar fractions, three items from the addition of proper and improper fractions, and four items from the addition of improper fractions). He analyzed the responses of each student and found that nearly 45% of students were not clear in adding proper with improper fractions which were affecting their performance in adding two improper fractions. He, therefore, focused on developing the understanding of improper fractions and their addition with proper fractions after which he proceeded to teach the addition of two improper fractions. Which kind of assessment is depicted by this situation?
Which of the following statements of D’Alembert’s principle are correct? 1. The net external force F actually acting on the body and the inertia force F1 together keep the body in a state of fictitious equilibrium. 2. The equation of motion may be written as F + (-ma) = 0 and the fictitious force (-ma) is called an inertia force. 3. It tends to give solution of a static problem an appearance akin to that of a dynamic problem.
A lady wants to buy the following items in the given price range- 1. Tomato between Rs. 40 and Rs. 45 per kg. 2. Grapes in the price range of Rs. 80 and Rs. 90 per kg. 3. Milk packets at Rs. 23 per liter. In which shop from the following will she definitely get all her items/ A. Shop S sells tomato at Rs. 22.5 per half kg, Grapes at Rs. 82 per kg and milk at Rs. 24 per liter. B. Shop H sells grapes at Rs. 21 per quarter kg, milk at 12.5 per half litre and tomato at Rs. 22 per half kg. C. Shop O sells milk at Rs. 11.5 per half litre, tomato at 21 per half kg and grapes at Rs. 43 per half kg. D. Shop P sells tomato at Rs. 23.5 per half kg, grapes at Rs. 85 per kg and milk at Rs. 23 per litre.
The elastic potential energy of a body is
1. Work done by the external force against the deforming force.
2. Work done against the external force by the deforming force.
3. The sum of work done by the external force and the deforming force.
Which one option is true?
State which of the following statements is correct about the Consumer Protection Act, 1986?
(1) The provisions of the act are in addition to any other law in force
(2) The Act is special legislation with respect to consumer disputes
(3) The provisions of the Act are in addition to and are not in derogation of any other law in force
(4) The provisions of the act bar jurisdiction of other courts
Statement A: Response of plants to low temperature is regulated by a hypothetical hormone. Statement B: Response of plants to different periods of light is also regulated by a hypothetical hormone.
In this question a passage and a statement related to it have been given. Read carefully the passage and review the statement based on it. When Shah Jahan gave his love for Mumtaz, he would have believed that the river would continue to flow. There was no solid land on which the foundation could be laid. Therefore, to reduce the level of water, he used an engineering system to use the foundation of deep well and it was filled with stone and mud. Finally, he covered them with wooden box work structure and the tomb Made Yamuna is an integral part of the creation of the Taj and there was no such predict ion that it would dry up or become narrow. But the river was narrow and it became contaminated. The timber of wood is likely to be brittle or disintegrated as the venetian made on the foundation of wood, indicates that when the wood is submerged in the wood, the age of the wood increases. When the wood does not come in contact with oxygen, then that But such creatures cannot be found who destroy them. Due to the dryness and contamination of the Yamuna, the breakdown of a wooden tree can break. Statement. To maintain the structure of the TajMahal, a revival of Yamuna river is necessary. Choose one of the following options. A. The statement is definitely true. B. The statement is probably true. C. Statement cannot be determined D. Statement is definitely wrong.
In this question a passage and a statement related to it have been given. Read carefully the passage and review the statement based on it. When ShahJahan gave his love for Mumtaz, he would have believed that the river would continue to flow. There was no solid land on which the foundation could be laid. Therefore, to reduce the level of water, he used an engineering system to use the foundation of deep well and it was filled with stone and mud. Finally, he covered them with wooden box work structure and the tomb Made Yamuna is an integral part of the creation of the Taj and there was no such predict ion that it would dry up or become narrow. But the river was narrow and it became contaminated. The timber of wood is likely to be brittle or disintegrated as the venetian made on the foundation of wood, indicates that when the wood is submerged in the wood, the age of the wood increases. When the wood does not come in contact with oxygen, then that But such creatures cannot be found who destroy them. Due to the dryness and contamination of the Yamuna, the breakdown of a wooden tree can break. Statement: Tajmahal is built on a strong solid land along Yamuna river. Choose one of the following options. A. The statement is definitely true. B. The statement is probably true. C. Statement cannot be determined D. Statement is definitely wrong.
For the conditions of the equilibrium of the body, i.e. the rigid body only the external forces defines the equilibrium. And the support reactions only cancels out the rotation part of the body and thus the potential energy of the body is stored in it.
Three friends want to hire a taxi for a trip. The taxi owner provides them with following three options: A. You can hire the taxi without an accompanying driver. This would cost you Rs. 2500 per day. Driver can be arranged from another agency for Rs. 500 per day. B. You can hire the taxi with driver from the first agency. This would cost you Rs. 2800 per day. But driver will have to be provided relief fund of Rs. 250 per day if total distance traveled exceeds 1500 KM. C. You can hire the taxi without an accompanying driver. This would cost you Rs. 2500 per day. Driver can be arranged from another agency for 50 paise per KM.  If the friends plan to travel to a place at a distance of 1500 kms and come back the next day, which tariff option should they choose?