m2=Tg−am sub 2 equals the fraction with numerator cap T and denominator g minus a end-fraction Substitute the values into the equation:
Since the first object is resting on a smooth horizontal table, the only horizontal force acting on it is the tension of the string.Using Newton's second law ( ) for the first object: T=m1â‹…acap T equals m sub 1 center dot a Substitute the known values: teen streap
m2⋅g−m2⋅a=Tm sub 2 center dot g minus m sub 2 center dot a equals cap T m2=Tg−am sub 2 equals the fraction with numerator