Flag Mechanics> Two particles, each of mass m, are connec...
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Two particles, each of mass m, are connected by a light string of length 2L, as shown in Fig. A steady force src=data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABcAAAAaCAIAAADT1lApAAAAiklEQVQ4jdXUwQ3AIAgFUOZiIOZhGpZhmPbQJhVFlNZD5e7L/5AIx4qB7RVlRNYFWZQRSBxFCLJzO+uzpIjhXpTRz29eltPJIlQ9UkZ4GmQU86guMaEoY5B/UskivmL7CPUXEijNjYaxHMX2CbcaKO19htMqL5BWSd/HU67NflLK46Q67f/v/lk5AY+gS4zvdeUHAAAAAElFTkSuQmCC is applied at the midpoint of the string (x = 0) at a right angle to the initial position of the string. Show that the acceleration of each mass in the direction at 90° to src=data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABcAAAAaCAIAAADT1lApAAAAiklEQVQ4jdXUwQ3AIAgFUOZiIOZhGpZhmPbQJhVFlNZD5e7L/5AIx4qB7RVlRNYFWZQRSBxFCLJzO+uzpIjhXpTRz29eltPJIlQ9UkZ4GmQU86guMaEoY5B/UskivmL7CPUXEijNjYaxHMX2CbcaKO19htMqL5BWSd/HU67NflLK46Q67f/v/lk5AY+gS4zvdeUHAAAAAElFTkSuQmCC is given by
src=data:image/png;base64,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
in which x is the perpendicular distance of one of the particles from the line of action of src=data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAbCAIAAAAVlPPLAAAAgklEQVQ4je2TyxHAIAhEty4Koh6qsRmKSQ4mUUEdScZb9syb/cyAIy5sZVSIRMM+KgROBxhR8SufD31UqJ/kuqtV+SQ2JyoEcHKOlmlOSpwBo0LdJF4Ps44Upk2WuFfEMG63iSV6yQbdDeM3mwhxJDOBzW4m9w8w9WCL6fb+9s/UOgGIz6yhrWUsGgAAAABJRU5ErkJggg==. Discuss the situation when x = L.
src=data:image/png;base64,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

Simran Bhatia , 10 Years ago
Grade 11
anser 1 Answers
Aditi Chauhan

Last Activity: 10 Years ago

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It is important to note that the force Tx accelerates the particle, therefore the acceleration of the particle is:

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