two identical blaocks each of Mass M are conneted by a light inextensible string and can move o the surface of a rough horizontal table. The blocks are being towed at constant speed in a straight line by a rope attached to one of them. The tension in the tow rope is T(0) or T naught. What is the tension of the connecting string
The Attempt at a Solution
-F+T(!)=m(1)*a, T(1) being the tension of the connecting string, F being the frictional force
-F+T(1)=m(1)*a==> -F=m(1)*a-T(1) therefore -F-T(1)+T(0)=m(2)*a==> (m(1)*a-T(1)-T(0)=m(2)*a==> 2*T(1)-T(0)=a*(m(2)-m(1))==>
==> T(1)= a*(m(2)-m(1))-T(0)/(2).
Are my calculations correct , because I wasn't sure whether I should include the gravitational force in my equation. The reason I left out the gravitational force is because the problems says the two blocks connected by a string are being towed in the horizontal direction and the gravitional force is in the vertical direction