When a rigid body undergoes only translation, is the acceleration of all the particles making up the body the same? Question 8 options: Yes No It cannot be determined
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A rigid body is an object that does not deform or change shape, meaning the distance between any two points within the body remains constant. Show more…
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The acceleration of the particle be measured with respect to a inertial reference frame that is either fixed or translates with a constant velocity. is neither fixed nor translates with a constant velocity. is neither fixed nor translates with a constant acceleration. is either fixed or translates with a constant acceleration.
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Translational motion of the rigid body is defined as one in which any line, say PQ, remains parallel to a fixed direction. Let $\overline{\mathrm{R}}_{\mathrm{A}}, \overline{\mathrm{R}}_{\mathrm{B}}, \overline{\mathrm{R}}_{\mathrm{p}}, \ldots \overline{\mathrm{v}}_{\mathrm{A}}, \overline{\mathrm{v}}_{\mathrm{B}}, \overline{\mathrm{v}}_{\mathrm{p}} \ldots$ and $\overline{\mathrm{a}}_{\mathrm{A}}, \overline{\mathrm{a}}_{\mathrm{B}}, \overline{\mathrm{a}}_{\mathrm{p}}, .$ denote the position vectors, velocity vectors and acceleration vectors of $\mathrm{A}, \mathrm{B}, \mathrm{P} . . .$ with respect to $\mathrm{O}$. Then, for translational motion. (a) $\overline{\mathrm{R}}_{\mathrm{p}}-\overline{\mathrm{R}}_{\mathrm{A}}$ must be a constant vector (b) $\overline{\mathrm{v}}_{\mathrm{A}}=\overline{\mathrm{v}}_{\mathrm{B}}=\overline{\mathrm{v}}_{\mathrm{p}}=\ldots$ and $\overline{\mathrm{a}}_{\mathrm{A}}=\overline{\mathrm{a}}_{\mathrm{B}}=\overline{\mathrm{a}}_{\mathrm{p}}=\ldots$ at any instant $\mathrm{t}$. (c) $\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{P}, \ldots$ must move in straight lines that are parallel. (d) All of the above.
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