What Range of Hanging Mass Keeps the Block Stationary on an Incline?

In summary, this conversation discusses a block of mass M on an inclined plane attached to another block of mass m via a string. The coefficients of static and kinetic friction and the angle of the plane are given. The questions ask for the range of values for m in which the block will not move unless disturbed and will slide down the incline if nudged, as well as the range of values for m in which the block will not move unless nudged, but will slide up the incline if nudged. The equations and attempt at a solution are not included.
  • #1
mty28
1
0

Homework Statement



A block of mass M = 107.0 kg on an inclined plane is attached to another block of mass m via a string, as in the figure below. The coefficients of static and kinetic friction for the block and the incline are μs = 0.40 and μk = 0.20 and the plane is inclined 17.6° with horizontal. (a)Determine the range of values for m, the mass of the hanging block, for which the block will not move unless disturbed, but if nudged, will slide down the incline.
(b) Determine a range of values for m for which the block will not move unless nudged, but if nudged will slide up the incline.

Homework Equations





The Attempt at a Solution

 
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  • #2
Welcome to PF!

Hi mty28! Welcome to PF! :wink:

Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 

FAQ: What Range of Hanging Mass Keeps the Block Stationary on an Incline?

What is a block on incline with friction?

A block on incline with friction is a physics problem that involves a block placed on an inclined surface with friction acting between the block and the surface. It is a common problem used to demonstrate the effects of friction on an object's motion.

How is the acceleration of the block on incline with friction calculated?

The acceleration of the block on incline with friction can be calculated using the formula a = g(sinθ - μcosθ), where g is the acceleration due to gravity, θ is the angle of incline, and μ is the coefficient of friction between the block and the surface.

What is the role of friction in a block on incline with friction problem?

Friction is an important factor in a block on incline with friction problem as it acts against the motion of the block, making it more difficult for the block to slide down the incline. The coefficient of friction determines how much force must be applied to overcome friction and move the block.

How does the angle of incline affect the motion of the block on incline with friction?

The angle of incline has a significant impact on the motion of the block on incline with friction. As the angle increases, the force of gravity acting down the incline also increases, making it more difficult for the block to move. This results in a smaller acceleration and a slower motion of the block.

Can the block on incline with friction problem be solved without considering friction?

No, the block on incline with friction problem cannot be solved without considering friction as it is a crucial factor in determining the motion of the block. Ignoring friction would result in an inaccurate solution to the problem.

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