Acceleration on an inclined plane

In summary, the question asks for the magnitude of acceleration of two blocks connected on a frictionless inclined plane at an angle of 30°. The mass of the first block is 4kg and the second block is 2.3kg. Using the equation a1 = gsin(teta), the acceleration for the first block is calculated to be 5 m/s^2. For the second block, the angle is considered to be 90° and the acceleration is calculated to be 10 m/s^2. Since the two blocks are connected, they have the same acceleration.
  • #1
ANGLA
1
0

Homework Statement


The question says "A block of mass 4kg on a friction less inclined plane at angle of 30° is connected by a cord over massless friction less pulley to a second block of mass 2.3kg hanging vertically. What is the magnitude of acceleration of each block."

Given
m1 = 4 kg
m2 = 2.3 kg
teta = 30°
g = 10 m/s*s(second square)

Required
a1 = ?
a2 = ?

Homework Equations



m1*a1 = m1gsin(teta)

The Attempt at a Solution



I drived the equation "a1 = gsin(teta)"

So a1 = 10m/s(square) * sin (30°)
a1 = 5 m/s(square)

For a2 i used 90° as the angle since it was vertical it creates a ninety degree.

So a2 = 10m/s(square) * sin90° = 10 m/s(square).

Please help me... i don't have any idea
 
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  • #2
ANGLA said:
m1*a1 = m1gsin(teta)
That would be true if the only force on the sliding block was gravity. But there's a cord attached to it!

Draw Free Body Diagrams for each mass, identifying the forces that act on each.
 
  • #3
since the 2 masses are connected they should have the same acceleration
 
  • #4
Find the sum of the two forces (they are of different signs) and presume that they are acting on a single object with mass ##m_1 + m_2##. That way you get the acceleration which is same for both objects when the cord is unstretchable.
 

Related to Acceleration on an inclined plane

1. What is acceleration on an inclined plane?

Acceleration on an inclined plane is the rate at which the velocity of an object changes as it moves up or down a slope. It is caused by the force of gravity acting on the object and the angle of the incline.

2. How is acceleration on an inclined plane calculated?

The acceleration on an inclined plane can be calculated using the formula a = gsinθ, where a is the acceleration, g is the acceleration due to gravity (9.8 m/s²), and θ is the angle of the incline.

3. Does the mass of the object affect the acceleration on an inclined plane?

Yes, the mass of the object does affect the acceleration on an inclined plane. However, in the absence of air resistance, all objects will accelerate at the same rate regardless of their mass.

4. How does the angle of the incline affect acceleration on an inclined plane?

The angle of the incline has a direct effect on the acceleration on an inclined plane. The steeper the angle, the greater the acceleration will be. This is because a steeper incline means that the force of gravity is acting more directly on the object.

5. Can the acceleration on an inclined plane ever be zero?

Yes, the acceleration on an inclined plane can be zero if the angle of the incline is 0° or 180°. This means that the object is either not moving or moving at a constant speed along the incline.

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