Two masses are connected via a spring and a string over a massless pulley as shown below. The first mass has a mass, m1 = 4 kg, and the second, m2 = 3 kg. The inclined plane sits at an angle, θ = 30°, with a coefficient of static friction with the first mass, μs = 0.3. The spring has a spring constant, k = 4 N/m. How far past its natural length is the spring extended to keep the system in equilibrium?

Two masses are connected via a spring and a string over a massless pulley as shown...
Two blocks with masses m1 and m2 are connected by a massless string over a frictionless pulley. Block 1 sits on a frictionless horizontal surface and block 2 sits on a plane inclined at an angle θ above the horizontal. The coefficient of friction between block 2 and the incline is µk. The pulley, which is a uniform disk, has a mass mp and a radius R. When you release the blocks, both blocks slide without the string slipping on...
Two blocks with masses M1 and M2 are connected by a massless string that passes over a massless pulley as shown. M1 has a mass of 2.25 kg and is on an incline of θ1=43.5° with coefficient of kinetic friction μ1=0.205 . M2 has a mass of 6.15 kg and is on an incline of θ2=35.5° with coefficient of kinetic friction μ2=0.105. The two-block system is in motion with the block of mass M2 sliding down the ramp.Find the magnitude...
Two blocks of masses M1 and M2 are connected by a massless string that passes over a massless pulley as shown in the figure. M2. which has a mass of 13.5 kg, rests on a long ramp of angle θ=15.5°. Friction can be ignored in this problem. Find the value of the mass Mi for which the two blocks are in equilibrium (i.e., not accelerating).
Two blocks of masses M and M2 are connected by a massless string that passes over a massless pulley as shown in the figure. M2, which has a mass of 25.5 kg, rests on a long ramp of angle θ-33.5. Friction can be ignored in this problem Find the value of the mass M1 for which the two blocks are in equilibrium (i.e. not accelerating) Number kg figure not to scale
Two blocks with masses M1 and M2 are connected by a massless string that passes over a massless pulley as shown. M1 has a mass of 2.25 kg and is on an incline of 41.5° with coefficient of kinetic friction μ1 = 0.205. M2 has a mass of 6.25 kg and is on an incline of 31.5° with coefficient of kinetic friction μ2 = 0.105. Find the magnitude of the acceleration of M2 down the incline.
Two blocks with masses M1 and M2 are connected by a massless string that passes over a massless pulley as shown. M1 has a mass of 2.25 kg and is on an incline of 47.5° with coefficient of kinetic friction μ1 = 0.205. M2 has a mass of 8.05 kg and is on an incline of 33.5° with coefficient of kinetic friction μ2 = 0.105. Find the magnitude of the acceleration of M2 down the incline.
Two blocks with masses M1 and M2 are connected by a massless string that passes over a massless pulley as shown. M1 has a mass of 2.25 kg and is on an incline of θ1=42.5 with coefficient of kinetic friction μ1=0.205. M2 has a mass of 7.25 kg and is on an incline of θ2=31.5 with coefficient of kinetic friction μ2=0.105. The two‑block system is in motion with the block of mass M2 sliding down the ramp. Find the magnitude...
Two blocks with masses M1 and M2 are connected by a massless string that passes over a massless pulley as shown. M1 has a mass of 2.25 kg and is on an incline of θ1=46.5 with coefficient of kinetic friction μ1=0.205. M2 has a mass of 6.05 kg and is on an incline of θ2=33.5∘ with coefficient of kinetic friction μ2=0.105. The two‑block system is in motion with the block of mass M2 sliding down the ramp. Find the magnitude...
Two masses m1 = 5 kg and m2 = 10 kg which are connected by a pulley with mass m2 on an inclined plane of θ= 40. A third block m3 = 8kg is found on block m1. The horizontal surface and inclined surface have no friction, but the coefficient of static friction between the two blocks is 0.3. Will the m3 block stay on block m1 or will it slip? What m2 mass would be needed to cause the...
Two blocks with mass M1 and M2 are arranged as shown with M sitting on an inclined plane and connected with a massless unstretchable string running over a massless, frictionless pulley to M2, which is hanging over the ground. The two masses are released initially from rest. The inclined plane has coefficients of static and kinetic friction μs and μk respectively where the angle θ is small enough that mass M1 , would remain at rest due to static friction if...