Physics Homework Solutions
Problem
#1554

Newton's Law Questions

I need help setting up and working through three more problems. Most of them I have attempted but could not make them work. Any help is appreciated!

Blocks of equal mass M sits on a plane inclined at 30 degrees to the horizontal. The coefficient of friction between the lower block (A) and the plane is 0.50 and between the upper block (B) is 0.30. (a) Find the acceleration of each block and the normal force exerted on A by B (b) What happens if the two blocks are reversed do that B leads the way down?

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probset7.2.doc
4. blocks of equal mass M sits on a plane inclined at 30 degrees to the
horizontal. The coefficient of friction between the lower block (A) and
the plane is 0.50 and between the upper block (B) is 0.30. (a) Find the
acceleration of each block and the normal force exerted on A by B (b)
What happens if the two blocks are reversed do that B leads the way
down?

What I did:

Nab = Normal (force of A exerted on B)

Nab=Nba

Nab=Ma

F-Nab=Ma

F-Ma=Ma

F=2Ma

A=F/2M

?? The answer is both a=1.5m/s(squared) down the plane

5. (a) Pulleys in the system are massless and frictionless, what mass m
must the ball have if it is to support the cylinder of mass M? (b) if
m=M, find the acceleration of each of the objects?

What I did:

T*=4T

Am=AM

m=M/4

F=ma

Mg-T=m4a

4T-4mg=4ma

solve: T=mg-4ma

4mg-16ma-4mg=4ma

-16ma=4ma ???

6. Assume a person jumps a planetary surface with roughly the same speed
no matter on which planet the jump occurs. If Alan can jump 1 m high on
earth, how high can he jump on the Mom? Neglecting any variation of
gravity, how high can he jump on an asteroid with density=5500 kg/m (3rd
power)? Is it okey to neglect the variation of g above the asteroid’s
surface?

How do I set this problem up??

B

A

30 degrees

M

m
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