A block is released from a height H and slides down a frictionless curved surface (see figure). When reaching the bottom of the curved path, it moves on to a horizontal rough surface whose friction coefficient p(x) = a x. The quantity x represents the position along the rough surface and measures the distance to the bottom of the curved path whereas the coefficient a is a constant that makes the friction coefficient dimensionless. (a) Obtain the value Xmax where the block will stop (b) Find the value of Xmax when an initial velocity Vo is given to the block at the start (c) How would answers (a) and (b) change if this experiment is carried out on a planet with a gravitational acceleration that is a third of the gravity on Earth? .. x=0

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A block is released from a height H and slides down a frictionless curved surface (see
figure). When reaching the bottom of the curved path, it moves on to a horizontal rough
surface whose friction coefficient p(x) = a x. The quantity x represents the position along the
rough surface and measures the distance to the bottom of the curved path whereas the
coefficient a is a constant that makes the friction coefficient dimensionless.
(a)
Obtain the value Xmax where the block will stop
(b)
Find the value of Xmax when an initial velocity Vo is given to the block at the start
(c)
How would answers (a) and (b) change if this experiment is carried out on a planet
with a gravitational acceleration that is a third of the gravity on Earth?
..
x=0
Transcribed Image Text:A block is released from a height H and slides down a frictionless curved surface (see figure). When reaching the bottom of the curved path, it moves on to a horizontal rough surface whose friction coefficient p(x) = a x. The quantity x represents the position along the rough surface and measures the distance to the bottom of the curved path whereas the coefficient a is a constant that makes the friction coefficient dimensionless. (a) Obtain the value Xmax where the block will stop (b) Find the value of Xmax when an initial velocity Vo is given to the block at the start (c) How would answers (a) and (b) change if this experiment is carried out on a planet with a gravitational acceleration that is a third of the gravity on Earth? .. x=0
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