SOLUTION: a 20 kg is pulled on a horizontal frictionless surface by a rope that makes an angle of 37 degree with the horizontal. Calculate the tension in the rope if the block accelerates at

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Question 160953: a 20 kg is pulled on a horizontal frictionless surface by a rope that makes an angle of 37 degree with the horizontal. Calculate the tension in the rope if the block accelerates at 2m/s2.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
There is no frictional force acting on the block but there is a component of gravity acting against the block.
The force balance, parallel to the slope, would be
T-mgsin%28alpha%29=ma
where T is the tension of the rope and alpha is the angle of incline,
T-mgsin%28alpha%29=ma
T=ma%2Bmgsin%28alpha%29
T=20%282%29%2B20%289.8%29sin%2837%29
T=40%2B118
T=158
The tension on the rope is 158 N.