Could someone please solve this?

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Answer 1 · 2017-11-04T13:49:35

See below.

Calling

#alpha = 30^@#
#beta = 60^@#
#mu = 0.5#
#g = 9.81#

#{(T - mg sin alpha = m a),(-mu m g cos beta -T + mg sin beta = ma):}#

solving now for #T, a# we get

#{(T=1/2m g(sinalpha+sin beta-mu cos beta)),(a = g/2(sinbeta-mu cosbeta-sin alpha)):}#

or

#a approx 0.57# [m/#"s"^2#]
#T approx 5.474m# [N]