Acceleration of Plank & Sphere with Constant Force F on Masses m1 & m2

In summary, a plank with mass m1 and a sphere with mass m2 are placed on a smooth horizontal floor. A constant horizontal force F is applied to the plank. The sphere will roll and the plank will have a displacement and the sphere will have an angular displacement. Either Newton's second law or the work-energy theorem can be used to determine the accelerations of the plank and the center of the sphere with respect to the ground. Further calculations can be done by assigning letters to the displacements and using the given information.
  • #1
sachin123
121
0
A plank of mass m1 with a uniform mass m2 placed on it rests on a smooth horizontal floor.A constant horizontal force F is applied to the plank.With what accelerations will plank and center of sphere move if there is no sliding between plank and sphere?(with respect to ground)
 
Physics news on Phys.org
  • #2
Attempt at solution?
 
  • #3
I have no clue
 
  • #4
sachin123 said:
A plank of mass m1 with a uniform mass m2 placed on it rests on a smooth horizontal floor.A constant horizontal force F is applied to the plank.With what accelerations will plank and center of sphere move if there is no sliding between plank and sphere?(with respect to ground)

(I assume the mass m2 is the sphere?)

The sphere will roll, so give letters to the displacement of the plank and the angular displacement of the sphere, and either use Newton's second law or use work done and the work-energy theorem.

Show us how far you get.
 

What is acceleration?

Acceleration is the rate at which an object's velocity changes over time. It is measured in meters per second squared (m/s²).

How is acceleration calculated?

Acceleration is calculated by dividing the change in velocity by the change in time. This can be represented by the equation a = (vf - vi) / t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time.

What is the relationship between force and acceleration?

According to Newton's Second Law of Motion, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This relationship can be represented by the equation F = ma, where F is force, m is mass, and a is acceleration.

How does a constant force affect acceleration?

A constant force will result in a constant acceleration as long as the mass remains the same. This means that the object will continue to accelerate at the same rate over time.

How does the mass of an object affect its acceleration?

The greater the mass of an object, the less it will accelerate for a given force. This is because the force needs to overcome the inertia of the object, which is directly related to its mass. In other words, a heavier object requires more force to accelerate at the same rate as a lighter object.

Similar threads

  • Introductory Physics Homework Help
Replies
6
Views
1K
  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
16
Views
1K
  • Introductory Physics Homework Help
Replies
5
Views
1K
  • Introductory Physics Homework Help
Replies
17
Views
1K
  • Introductory Physics Homework Help
Replies
7
Views
2K
  • Introductory Physics Homework Help
Replies
12
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
804
  • Introductory Physics Homework Help
Replies
2
Views
829
  • Introductory Physics Homework Help
Replies
20
Views
1K
Back
Top