A weight W hangs from a rope that is tied to two other ropes that are fastened to the ceiling - Physics - Laws Of Motion

Question

A weight W hangs from a rope that is tied to two other ropes that
are fastened to the ceiling The upper ropes make angles a° and
b° with the horizontal Now find the values of tension by both
the ropes denoted by T1 and T2

Varsha Sharma · Accepted Answer

Dear Student,
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"https://s3mn%20mnimgs%20com/img/shared/ck-files/ck_56974ede94f32%20png"
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Taking the horizontal component we get ,
T1cosa-T2cosb+Wgcos900=0⇒T1cosa=T2cosb  (1)
taking vertical components,
T1sina+T2sinb-Wg=0⇒T1sina+T2sinb=Wg⇒T1=Wgsina +cosacosbsinb=Wgcosbsina+b From (1)T2=Wgcosasina+b

Regards

A weight W hangs from a rope that is tied to two other ropes that are fastened to the ceiling. The upper ropes make angles a° and b° with the horizontal. Now find the values of tension by both the ropes denoted by T1 and T2