Help Needed: Solving Ramp Problem with Inclined Wedge and Block

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In summary, the problem involves a block of mass 0.6 kg on an inclined wedge of mass 1.8 kg, acted upon by a horizontal force F on a frictionless surface. The coefficient of static friction between the wedge and the block is 1, and the angle of incline is 23º. To find the minimum value of F for the block to not slip, one must consider the normal force and friction, and take into account that a force is accelerating both the wedge and the block.
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iMAGICIALoTV
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A block of mass 0.6 kg rests on the inclined
surface of a wedge of mass 1.8 kg. The wedge
is acted upon by a horizontal force F and slides on a frictionless surface.
The acceleration of gravity is 9.81 m/s

If the coefficient of static friction between
the wedge and the block is 1 and the angle of
the incline is 23º, find the minimum value of
F for which the block does not slip.
Answer in units of N

My attempt to a solution

I haven't done it b my plan is to find the normal force and friction to find the acceleration, but I noticed that in order for block to be still, mgcosθ should be equal to N and since the friction f = μN and μ=1, f = N so f = mgcosθ. It can't be right because f = Nsinθ and it just doesn't seem right. What should I do? Are there any mistake in my plan to solve this problem?
 
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  • #2
You need to take into account that a force is accelerating the wedge and the block.
 

FAQ: Help Needed: Solving Ramp Problem with Inclined Wedge and Block

What is the "Ramp Problem"?

The "Ramp Problem" refers to a common physics problem where an object is placed on a ramp and the goal is to determine the speed and acceleration of the object as it moves down the ramp.

What factors affect the speed and acceleration of an object on a ramp?

The speed and acceleration of an object on a ramp are affected by the angle of the ramp, the mass of the object, and the force of gravity.

How do you calculate the speed and acceleration of an object on a ramp?

To calculate the speed and acceleration of an object on a ramp, you can use the equations v = √(2gh) and a = gsinθ, where v is velocity, g is the acceleration due to gravity, h is the height of the ramp, and θ is the angle of the ramp.

What is the significance of the "Ramp Problem" in physics?

The "Ramp Problem" is significant in physics because it allows us to study the effects of gravity and motion on an inclined surface. It also helps us understand concepts such as kinetic and potential energy.

Can the "Ramp Problem" be applied to real-life situations?

Yes, the "Ramp Problem" can be applied to real-life situations, such as determining the speed and acceleration of a car driving up or down a hill, or calculating the force needed to push a heavy object up a ramp.

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