In the system shown below, masses M1 and M, are connected with a stiff, massless cable...
In the pulley system shown in Figure P2.33, assume that the cable is massless and inextensible, and assume that the pulley masses are negligible. The force f is a known function of time. Derive the system's equation of motion in terms of the displacement. For the system shown in Figure P2.34, the solid cylinder of inertia I and mass m rolls without slipping. Neglect the pulley mass and obtain the equation of motion in terms of x.
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 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...
The two masses "m1" and "m2" shown in the figure connected by a massless string and are being dropped by a constant horizontal force F a rough horizontal surface. F = 100 N, m1=10 kg, m2=15 kg coefficient kinetic friction between each mass and M_k= 0.2 expression: M2-->M1--> F Questions: 1) Calculate the friction force on M2 2) Calculate the acceleration of the system of the 2 masses 3) Calculate the tension T in the string. H Mz mi
A four-particle system is shown in the figure below, and the masses of the particles are ni l1 m1 3.4 kg m2 3.5 kg m3 3.4 kg m4 3.5 kg 2.0 m 2.0 m 12 (a) Find the moment of inertia Ix about the x axis, which passes through m2 and m3 kg m2 (b) Find the moment of inertia ly about the y axis, which passes through m1 and m2 kg m2
Two masses (M1 = 5.0kg; M2 = 3.0kg) are connected to a pulley with a moment of inerial, I =1.0kg m2, and a radius, R = 0.3 m by a cord. The pulley rotates about a frictionless axle and the cord can be considered massless. What is the tension in the portion of the cord that is attached to M1?
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.
Four masses, connected by massless rods, form a square of side 2.40 m, as shown. Find the center of mass of the system. 2.Ym ANSWER: For the arrangement in the previous problem, find the moment of inertia for rotation about the diagonal of the square that passes through the origin. ANSWER
Problem 2: Consider two blocks of masses mi and m2 connected by a massless cable. The coefficient of kinetic friction between the mass m2 and the inclined surface is ud. The coordinates x and y measure the displacements of the two blocks such that x=y=0 when the system is at rest. Find a single differential equation of motion for the system in coordinate y. Ideal Pulley m2 d