- #1
jjiimmyy101
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Question (I added a picture): The free-rolling ramp has a mass of 40 kg. A 10 kg crate is released from rest at A and slides down 3.5 m to point B. If the surface of the ramp is smooth, determine the ramp's speed when the crate reaches B. Also, what is the velocity of the crate?
This is what I did for finding the velocity of the ramp:
1) \sigma mv1 = \sigma mv2
2) mass ramp * (velocity ramp)1 + mass crate * (velocity crate)1 = mass ramp * (velocity ramp)2 + mass crate *(velocity crate)2
3) 40*Vr + 0 = 40*Vr2 + 10*Vc2
Too many unknowns?
This is what I did for finding the velocity of the crate:
1) Vc2^2 = Vinitial^2 + 2*a*(S-Sinitial)
= 0 + 2 * 4.905 * 3.5
Vc2 = 5.86 m/s
2) I can substitute this into the first equation, but I still have too many unknowns. What should I do next?
This is what I did for finding the velocity of the ramp:
1) \sigma mv1 = \sigma mv2
2) mass ramp * (velocity ramp)1 + mass crate * (velocity crate)1 = mass ramp * (velocity ramp)2 + mass crate *(velocity crate)2
3) 40*Vr + 0 = 40*Vr2 + 10*Vc2
Too many unknowns?
This is what I did for finding the velocity of the crate:
1) Vc2^2 = Vinitial^2 + 2*a*(S-Sinitial)
= 0 + 2 * 4.905 * 3.5
Vc2 = 5.86 m/s
2) I can substitute this into the first equation, but I still have too many unknowns. What should I do next?