- #1
Satvik Pandey
- 591
- 12
Homework Statement
Consider a fixed wedge, whose part is a quarter circle of radius as shown. A small block of mass 'm' slides down the wedge and leaves horizontally from a height 'h' as shown.The coefficient of friction between wedge and block is 'μ[itex]_{k}[/itex]' . Compute the value of in centimetres , where 'x' is the distance from bottom of wedge of the point where the block falls given the values below:
Here is the figure.
https://d18l82el6cdm1i.cloudfront.net/solvable/9f0d7815b5.e8a0649017.E9Nd6g.png
_Details : _
R=200cm
h=105cm
μ[itex]_{k}[/itex]=0.5
m=2g
Homework Equations
The Attempt at a Solution
I think we have to apply law of conservation of energy here.
i.e., potential energy of block
(E[itex]_{p}[/itex]) =work done by friction (W[itex]_{f}[/itex]) + Kinetic energy (E[itex]_{k}[/itex])...(1)
Here, I have problem in finding the W[itex]_{f}[/itex].
In know F[itex]_{f}[/itex] = μR.
Here, the normal reactionary force which is being exerted on the block on the wedge is not constant. I tried few ways but I am unable to find W[itex]_{f}[/itex]. It would be nice if somebody could help.
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