- #1

tortilla

- 6

- 0

- Homework Statement
- A track consists of frictionless arc XY which is a quarter circle of radius R and a rough horizontal secion YZ. Block A of mass M is released from rest at point X slides down the curved section of the track to point Y. Block A continues moving along the horizontal track to the right, sliding past point P which is a distance l from point Y. The coefficient of kinetic friction between the blocks and the horizontal part of the track is mu.

Express your answers in terms of M, l, mu, R, and g.

1. Determine the speed of block A at point Y.

2. Determine the force due to friction acting upon block A as it slides horizontally.

3. Determine the work done by friction on block A as it passes point P.

4. Determine the speed of block A as it passes point P.

- Relevant Equations
- Fc = (Mv^2)/R

Ff = Fn*mu

w = Ff*d

I think I have solved the first three, and only really need help on question four.

For number one, I used Fc = (Mv^2)/R and just rearranged it for velocity so I ended up with v = sqrt(ac * R)

For number 2 I used Ff = Fn*mu and got Mg*mu = Ff

For number 3 I used w = Ff*d and got w = -Mg*mu*l

For number four I have no idea.

For number one, I used Fc = (Mv^2)/R and just rearranged it for velocity so I ended up with v = sqrt(ac * R)

For number 2 I used Ff = Fn*mu and got Mg*mu = Ff

For number 3 I used w = Ff*d and got w = -Mg*mu*l

For number four I have no idea.