In an ideal situation without air resistance ect. all mass undergoes same downward acceleration of g near the surface of the earth. Hence, mass is not used in this question.
Start by finding the vertical component of the apple velocity
Assuming the particle is sticked to the very edge of the disk.
a) Check you angular velocity. the units is rad/s. and unit for the frequency is rev/min
OK. i Think i got the relation.
F= Frictional force between disk and platform.
m= mass of disk
M= mass of platform
a= acceleration of disk, wrt to neutral frame
A= acceleration of platform, wrt to neutral frame.
r= radius of disk
Hence,
A- (alpha) r = a
In this case, let's consider the disk...
Ok.
So
1) Friction on cylinder is to the right.
Hence, using F=(M disk) a, Translational acceleration of Cylinder is to the Right
2) The risk rolls without slipping to the left wrt platform.
r(alpha)=a (nonslip condition)
3. With the alpha obtained, taking moment about centre of circle...
Oh yeah to add on,
Just like you said, translational acceleration should be in the same direction as angular acceleration, this means frictional force on the disk will be to the left.
Hence, the frictional force acting on the platform will be to the right, hence this will cause the platform...
Okay
In the case whereby "force P aact to the right", causing platform to accelerate to the right,
For rolling without slipping, acceleration of the disk w.r.t platform should be equal to the product of angular acceleration x radius
Hence,
translational acceleration = angular acceleration...
By mental visualization,
The acceleration of the disk should be lower than that of the platform itself. And the angular acceleration of the disk should be resulting in acceleration that is in opposite direction to the platform. Am I right?
However, i am having a difficulty in coming up with...
Sorry, my mistake for the ambiquity. Thanks for pointing it out !
Its an infinitely thin disk, with I= 1/2 mr^2.
So the question is on what is the coefficient of friction to keep the disk from slipping.
Yes. Initially the disk and the platform are stationary. A force P is then applied to the platform alone. What is the minimum coefficient of friction so that the ball rolls without slipping.
the mgh in ur context is wrong. You are double counting the loss in PE since you already took into account the Kinetic energy arised from the loss in PE
Homework Statement
Question
A disk is initially stationary on a platform. Force P is exerted on the platform. Mass of Disk is MD and Mass of Platform is MP.
Determine the minimum coefficient of friction in order for the ball to not roll.
What is the acceleration of the ball as seen from...
Using conservation of energy,
The loss in Potential energy of the meat and plate as the spring compress = gain in elastic potential energy of the spring.