A block of mass M slides with a speed y, towards another block of mass m that is at rest on a horizontal surface. After the perfectly elastic collision between the two blocks the block of mass m travels to point A at the bottom of a circular track of radius R that is standing up vertically (see figure below). All surfaces are frictionless. a) What is the velocity with which the block of mass m reaches point A? b) (c) (d) What is the ratio M/m required for the block of mass m to slide along the circular track up to the angle = 1/2 ? What is the minimum ratio M/m needed for the block of mass m to complete the loop without losing contact with the track? Instead of a perfectly elastic collision, assume now that the blocks collide inelastically and calculate the minimum ratio M/m needed for both blocks to complete the loop without losing contact with the track. M m 0
A block of mass M slides with a speed y, towards another block of mass m that is at rest on a horizontal surface. After the perfectly elastic collision between the two blocks the block of mass m travels to point A at the bottom of a circular track of radius R that is standing up vertically (see figure below). All surfaces are frictionless. a) What is the velocity with which the block of mass m reaches point A? b) (c) (d) What is the ratio M/m required for the block of mass m to slide along the circular track up to the angle = 1/2 ? What is the minimum ratio M/m needed for the block of mass m to complete the loop without losing contact with the track? Instead of a perfectly elastic collision, assume now that the blocks collide inelastically and calculate the minimum ratio M/m needed for both blocks to complete the loop without losing contact with the track. M m 0
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Transcribed Image Text:3.
(a)
(b)
(c)
(d)
A block of mass M slides with a speed y, towards another block of mass m that is at rest
on a horizontal surface. After the perfectly elastic collision between the two blocks the
block of mass m travels to point A at the bottom of a circular track of radius R that is
standing up vertically (see figure below). All surfaces are frictionless.
What is the velocity with which the block of mass m reaches point A?
What is the ratio M/m required for the block of mass m to slide along the circular track
up to the angle = n/2 ?
What is the minimum ratio M/m needed for the block of mass m to complete the loop
without losing contact with the track?
Instead of a perfectly elastic collision, assume now that the blocks collide inelastically
and calculate the minimum ratio M/m needed for both blocks to complete the loop
without losing contact with the track.
M
m
A
0
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