Question

Two blocks 1 and 2 are connected by a rope over a pulley as shown. The pulley is very light (massless) and rotates with essentially no friction. Calculate the mass m1, given that m2=50 kg and that block 2 moves and accelerates downwards at 319 ms2 when =15 and k=046.

Atwood Machine on a Ramp 2

Answer 1

Given that, forces on mass m_1 are Normal reaction fn perpendicular to the inclined. Surface and away front it. Tension T parallel to the inclined surface and upwards fractional force F_f parallel to the inclined the surface and downwards. Component of gravitational force u, g sin theta parallel to the inclined surface and downwards component of gravitational force u, g cos theta perpendicular to the inclined surface and toward from it force on mass m_2 are tension along the string upwards \r\n since the blocks are sliding as shown in frictional force is kinetic and F_f = u_k f_n = u_k^u_1 g cos theta equations of motion are for block of mass = 50 kg m_2g - T = m_2 c The block of mass m_1 T - u, g sin theta - F_f - T - u, g sin theta - u_11 u, g cos theta = u, a (1) u, g cos theta = f_n (3)