Frictionles force problem with hanging mass

  • Thread starter Thread starter Shapeup
  • Start date Start date
  • Tags Tags
    Force Mass
Click For Summary
SUMMARY

The problem involves two blocks, M1 (3.70 Kg) on a frictionless inclined plane at 30 degrees and M2 (2.30 Kg) hanging vertically, connected by a cord over a massless, frictionless pulley. The acceleration of both blocks can be determined using Newton's second law, F=ma. The equations derived include T = M1a and T - M2g = M2a, leading to a system of equations that can be solved for the acceleration 'a' and tension 'T'. The analysis confirms that M2 will accelerate downward due to the greater gravitational force compared to the component of M1's weight along the incline.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of basic trigonometry, specifically sine functions
  • Familiarity with the concepts of tension in a cord and acceleration
  • Ability to solve systems of equations
NEXT STEPS
  • Study the derivation of acceleration in pulley systems
  • Learn about forces on inclined planes in physics
  • Explore the concept of tension in strings and ropes
  • Practice solving systems of equations in physics problems
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and dynamics, as well as educators looking for examples of pulley systems and inclined planes in action.

Shapeup
Messages
1
Reaction score
0

Homework Statement


A block if mass M1=3.70 Kg on a frictionless plane inclined at 30 degrees is connected by a cord over a massless, frictionless pulley to a second block of mass M2= 2.30Kg. What is the magnitude of acceleration of both blocks?


Homework Equations


F=ma


The Attempt at a Solution



4gb9u.png


Fnormal-M1gsin(30)=0
T=M1a
T-M2g=May

Not really sure where to go from here since I have 2 variables T and a.
T-
 
Physics news on Phys.org
Shapeup said:

Homework Statement


A block if mass M1=3.70 Kg on a frictionless plane inclined at 30 degrees is connected by a cord over a massless, frictionless pulley to a second block of mass M2= 2.30Kg. What is the magnitude of acceleration of both blocks?


Homework Equations


F=ma


The Attempt at a Solution




Fnormal-M1gsin(30)=0
your geometry/trig is off, it's not the sin function here...
T=M1a
you are missing a force component in this equation
T-M2g=May
..or is it M2g -T = M2ay?? Or does it matter?
Not really sure where to go from here since I have 2 variables T and a.
T-
2 equations, 2 unknowns..are the accelerations of the masses the same?
 
Since M2*g > M1*g*sinθ, M2 moves in the downward direction.
Now write down expression for net force on M1 and M2.
 

Similar threads

Two blocks on a plane with a pulley
  • · Replies 11 ·
Replies
11
Views
2K
Accelerating pulleys (3 pulleys and 3 masses)
  • · Replies 5 ·
Replies
5
Views
2K
A cylinder connected to a hanging mass
  • · Replies 21 ·
Replies
21
Views
3K
Acceleration on an inclined plane
  • · Replies 3 ·
Replies
3
Views
2K
Newton's Second Law (Pulley Sustem)
  • · Replies 3 ·
Replies
3
Views
2K
Acceleration and Tension in Multiple Pulleys
  • · Replies 7 ·
Replies
7
Views
8K
Distribution of Energy when work is done on a system of 2 masses connected by a spring
  • · Replies 17 ·
Replies
17
Views
2K
Halliday, Resnick & Krane Chapter 5: Force on Pulley
  • · Replies 1 ·
Replies
1
Views
3K
Calculating Acceleration of Hanging Mass System
  • · Replies 9 ·
Replies
9
Views
2K
What if check: Am I calculating tension wrong?
  • · Replies 3 ·
Replies
3
Views
2K