the cylinder mass m2 dan the inertia moment to
horizontal axis O is Io. that stepped cylinder is rolling without
slip on the horizontal surface. mass m1 is translatiom moving
without friction. so find :
a) the equation of motion from that system (EoM)
b) the persoanl frequency (omega n)
c) the attentuation's coefficient "c" ,that makes the system
critically vague
the cylinder mass m2 dan the inertia moment to horizontal axis O is Io. that stepped...
1 Q2. Figure 2 shows a system in which mass m is connected with a cylinder of mass m2 and moment of inertia Jo through a horizontal spring k. The cylinder is m1 rolling on the rough surface without slipping. (1) Find its total kinetic energy, total potential energy TN and Lagrangian, Figure 2 (2) Derive the equations of motion using Lagrangian equation method, and (3) Calculate its natural frequencies 1 Q2. Figure 2 shows a system in which mass...
The moment of inertia of a cylinder of mass m, radius a, length l, about its axis is given by 3ma2/5. This cylinder is rolling with speed V on a rough horizontal plane and the coefficient of friction between the cylinder and the plane is u. A constant braking couple of magnitude 11umag/5 is applied to the cylinder at time t= 0 and is maintained. Show that the cylinder skids immediately. Show also that the cylinder will instantaneously cease to...
Mass m1 14.9 kg is on a horizontal surface. Mass m2 6.73 kg hangs freely on a rope which is attached to the first mass. The coefficient of static friction between m1 and the horizontal surface is H5 = 0.638, while the coefficient of kinetic friction is μk = 0.144. m1 m2 If the system is set in motion with m1 moving to the right, then what will be the magnitude of the system's acceleration? Consider the pulley to be...
A small block of mass m2 hangs from a massless rope wrapped around the inner cylinder of a pulley with inner radius of R2. The moment of inertia of the entire pulley is I = 4m2(R2)2. Another block m1= m2 is connected to the outer cylinder of the pulley via a horizontal massless rope wrapped around the outer cylinder of the pulley with radius R1=2R2. The coefficient of kinetic friction between the block and the horizontal surface is μk =...
Mass my = 12.6 kg is on a horizontal surface. Mass m2 = 7.98 kg hangs freely on a rope which is attached to the first mass. The coefficient of static friction between my and the horizontal surface is us = 0.626, while the coefficient of kinetic friction is uk = 0.100. Surface when cover hele andere le com a rope which is attached to the first m1 7777777 If the system is set in motion with my moving to...
Mass m1 = 5.80 kg is connected to mass m2 = 3.50 kg by a light string that passes over a frictionless pulley. The pulley has a moment of inertia of 0.490 kg · m2 and a radius of 0.280 m. Mass m2 sits on a frictionless horizontal surface. The string does not slip while in motion on the pulley. Find the tension force T1 on mass m1 in N
please solve it as soon as possible and be sure of your answers A cylinder of mass m and mass moment of inertia J is free to roll without slipping but is restrained by 3 springs of stiffinesses k. If the translational and angular displacements of the cylinder are x and 8 from its equilibrium position. Determine the following: a- Equation o method b- Find the natural frequency of vibration f motion of the system assuming that the system is...
e susJrom rest at the top of the well and falls for before hitting the water, how far does it fall? Moment of inertia of cylinder 1-% MR 2. A ladder is leant against the wall. The coefficient of the static friction p. between the ladder and the wall is 0.3 and the coefficient of the static friction g, between the ladder and the floor is 0.4. The center of mass of the ladder is in the middle of it...
The moment of inertia of the human body about an axis through its center of mass is important in the application of biomechanics to sports such as diving and gymnastics. We can measure the body's moment of inertia in a particular position while a person remains in that position on a horizontal turntable, with the bodys center of mass on the turntable's rotational axis. The turntable with the person on it is then accelerated from rest by a torque that...
The disk-shaped pulley of mass 10.0kg has a radius R and a moment of inertia I turns on a frictionless bearing. The rope does not slip over the pulley. a) Find the work done by the frictional force, if the system drops 0.60m the coefficient of kinetic friction between the table and the 5.00kg block is 0.35 b) How fast is the system moving after dropping 0.6m? 5.00kg 10Kg 9.00kg