The statement $\overrightarrow{d\vec{L}}/dt = \vec{r} \times \vec{F}$ is not true for __________. \newline Select one: \newline a. a single particle in motion. \newline b. a rotating rigid body. \newline c. a system of interacting particles. \newline d. this equation is always true.
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Step 1: The equation $$\overrightarrow{dL}/dt = \overrightarrow{r} \times \overrightarrow{F}$$ is the equation for the torque on a system. Show more…
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A rigid body is defined as a system consisting of a large number of point masses, called particles, such that the distance between the pairs of point masses remains constant even when the body is in motion or under the action of external forces. This is an idealized definition of a rigid body because: A. There is no such thing as true point masses or particles. B. No body of any physical size is strictly rigid because it becomes deformed under the action of applied forces. C. Any object of any physical size is strictly rigid because it is made up of true point masses or particles. Only A and B are correct. Only A and C are correct. Only B and C are correct.
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Identify the correct statement for the rotational motion of a rigid body $\{A\}$ Individual particles of the body do not undergo accelerated motion \{B \} The centre of mass of the body remains unchanged. \{C\} The centre of mass of the body moves uniformly in a circular path \{D\} Individual particle and centre of mass of the body undergo an accelerated motion.
Consider a particle of mass $m$ having linear momentum $\vec{p}$ at position $\bar{r}$ relative to the origin $O$. Let $\vec{L}$ be the angular momentum of the particle with respect to the origin. Which of the following equations correctly relate(s) $\vec{r}, \vec{p}$ and $\vec{L} ?$ (a) $\frac{d \vec{L}}{d t}+\vec{r} \times \frac{d \vec{p}}{d t}=0$ (b) $\frac{d \vec{L}}{d t}+\frac{d \bar{r}}{d t} \times \vec{p}=0$ (c) $\frac{d \vec{L}}{d t}-\frac{d \vec{r}}{d t} \times \vec{p}=0$ (d) $\frac{d \vec{L}}{d t}-\vec{r} \times \frac{d p}{d t}=0$
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a rigid body what is actually a rigid body rigid body so a rigid body is a object firstly a rigid body is a object a rigid body is a object made of two or made of two or more number of particles more number of particles which are separated by a distance which are separated by a separated by a distance so rigid body is made up of two or more particles which are separated by a distance the distance between the particles remain constant the distance between distance between the…
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