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Grade 11Mechanics

A body of mass 1 kg is acted upon by a force F=2sin3Rti^ +3cos3Rt j^ find its position at t = 1 sec if at t = 0 it is at rest at origin..

Profile image of Vishnu Priya
9 Years agoGrade 11
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1 Answer

Profile image of Vikas TU
9 Years ago
Dear Student,
F=2sinwrt i^ + 2coswrt j^
a= 2sinwrt i^ + 2coswrt j^
integration of dv from 0 to v = integration of a dt from 0 to dt
=> v|0 to v = -2coswrt/wr  i^ + 2sinwrt/wr j^ | 0 to t
=> v = (-2cos wrt i^ + 2 sin wrt j^)/wr  j^ + 2/wr i^

integration of ds from 0 to s = inegration of v dt from 0 to 1
=> s = (-2sinwr/w^2r^2  + 2/wr) i^ + (2/w^2r^2  - 2coswr/w^2r^2 ) j^(cap).
 
Cheers!!
Regards,
Vikas (B. Tech. 4th year
Thapar University)