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(I've tried and tried but I simply don't know how to solve this. Someone please help me.)

Illustration: http://i115.photobucket.com/albums/n305/jlsilo/phy.jpg

Two small blocks, each of massm, are connected by a string of constant length 4h and negligible mass. Block A is placed on a smooth tabletop as shown above, and block B hangs over the edge of the table. The tabletop is a distance 2h above the floor. Block B is then released from rest at a distance h above the floor at t=0. Express all algebraic answers in terms of h, m, and g.
a) Determine the acceleration of block B as it descends.
b) Block B strikes the floor and does not bounce. Determine the time t, at which block B strikes the floor.
c) Describe the motion of block A from time t=0 to the time when block B strikes the floor.
d) Describe the motion of block A from the time block B strikes the floor to the time block A leaves the table.
e) Determine the distance between the landing points of the two blocks.

2006-10-29 18:52:27 · 4 answers · asked by Robert G 1 in Education & Reference Homework Help

a) b) c) d) are all individual questions corresponding to the description above.

2006-10-29 19:02:25 · update #1

4 answers

The force accelerating block B is m*g. That force must also accelerate A. Therefore, from f=Ma, a = f/M, and here M is both masses = 2m. So the acceleration is a =m*g/2m = g/2

B. The distance an accelerating object moves is given by s=.5*a*t^2. Here, s = h, a=g/2, solve for t

C. Block A and B move together at the same rate. Block B moved a distance h at an acceleration of g/2. Block A must do the same. Since the string length is 4h, it is long enough so that block A does not fall off the edge of the table (yet).

D After block B reaches the floor, there is no more force pulling block A. It therefore stops accelerating, but it doesn't stop moving. It will move at a constant velocity, the velocity it had when B hit the floor. V = a*t. You know a (-g/2) and t (calculated above) so you can compute A's velocity along the table.

E) When A reaches the end of the table, it keeps its horizontal velocity (computed above), but starts accelerating at rate g towards the floor. Using the formula s=.5*g*t^2, knowing s = 2h (the table height), you can figure t. The block will travel horizontally a distance v*t before it lands, and that's how far it will be from block B.

2006-10-29 19:08:50 · answer #1 · answered by gp4rts 7 · 2 0

Since we are assuming the table to be frictionless, there is no resistance to the motion of A. Till the mass B hits the ground, the string will drive A. Lets say that the acceleration of the bodies be 'a'. Hence, for body A, T=ma , where T = tension in the string).
now for B, mg-T=ma, equationg two equations, a=g/2.(Answer part a)
Using s=1/2at^2; h=1/2(g/2)t^2 (note a=g/2 here). Hence t=2*sqrt(h/g) (Answer b)

Answer c: Uniform acceleration at a=g/2 units.
Answer d: uniform velocity in x-direction (since there no tenson in the string). To get velocity use
v^2=u^2+2as (for part c) ; (u=0); v=sqrt(2*g/2*h)=sqrt(gh)

Answer e) find time to fall freely and multiply it with u.

Answer e)

2006-10-29 19:17:50 · answer #2 · answered by nice dude 1 · 0 0

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2016-10-20 23:50:47 · answer #3 · answered by ? 4 · 0 0

b

2006-10-29 18:58:25 · answer #4 · answered by JOhNe=mc² 6 · 0 1

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