Question

Solve all the questions please!

mass M-mg tension T Now assume that the value of M is double the value found in part (a). Find the folowing in terms of m, g, and θ. acceleration a- tension e that the coefficent of static friction between m and 2m and the inclined plane is μ. and that the system is in equl rium. Find the following n terms of pa m Next, asa g,and θ. maximum value of M manimun valin d M

Answer 1

From the given data the free body diagram of the object of mass m is shown in the figure which is below. The free body diagram of an object is in the figure (1) From the given data the free body diagram of the object of mass 2m is shown in the figure is drawn below Free body diagram a object of mass 2m is shown in the figure (2) If the mass 2m is under equilibrium then r_1 = 2 mg sin theta r_1 = 2 mg sin theta The oppo figure shows that the free body diagram of the object of mass M. If the object of an equilibrium then T_2 = mg T_2 = mg (a) The equation (2) will be subtracted as in the equation (1) Then we will get T_2 = T_1 + mg sin theta = 2 mg sin theta + mg sin theta = 3 mg sin theta Then substrate equation (4) in the equation (3) then we get T_2 = mg 3 mg sin theta = mg M = 3 m sin theta