If the yo-yo is just a uniform disk with the string wound around the rim, this answer can be simplified.deanwudean said:I got it ,F=(M+lc/(R^2))ac
Mg=ac(M+(1/2MR^2)/(r^2)
ac=g/(1+R^2/2r^2)
Just add the friction force to the mix. It equals [itex]\mu N[/itex].just one more question, I can't figure out the accerlation of a slipping cylinder in a ramp.
how to apply slipping force, I mean the kinetic frictional force>?
The downward acceleration, also known as acceleration due to gravity, is the rate at which an object increases its velocity towards the ground. This is caused by the force of gravity pulling the object towards the center of the Earth.
Downward acceleration can be calculated using the formula a = F/m, where a is the acceleration, F is the force of gravity, and m is the mass of the object. On Earth, the average downward acceleration is approximately 9.8 meters per second squared (m/s^2).
The downward acceleration of an object is affected by the mass and distance between the object and the center of the Earth. Objects with a greater mass will experience a stronger force of gravity and therefore have a higher downward acceleration. Additionally, objects that are closer to the center of the Earth will experience a greater force of gravity and have a higher downward acceleration.
Yes, the downward acceleration can vary on different planets due to differences in mass and distance from the center of the planet. For example, the downward acceleration on the Moon is approximately 1.6 m/s^2, while on Jupiter it is approximately 24.8 m/s^2.
Downward acceleration measures the rate of change of an object's velocity, while velocity measures the rate of change of an object's position. In other words, downward acceleration describes how quickly an object is speeding up or slowing down towards the ground, while velocity describes how fast and in what direction an object is moving.