# Physics

A block of mass m1 = 28 kg rests on a wedge of angle θ = 53∘ which is itself attached to a table (the wedge does not move in this problem). An inextensible string is attached to m1, passes over a frictionless pulley at the top of the wedge, and is then attached to another block of mass m2 = 4 kg. The coefficient of kinetic friction between block 1 and the plane is μ = 0.9. The string and wedge are long enough to ensure neither block hits the pulley or the table in this problem, and you may assume that block 1 never reaches the table. take g to be 9.81 m/s2.

The system is released from rest as shown above, at t = 0.

(a) Find the magnitude of the acceleration of block 1 when it is released (in m/s2).

(b) How many cm down the plane will block 1 have traveled when 0.50 s has elapsed?

1. 👍 0
2. 👎 0
3. 👁 117
1. I will assume the inclined block wins and slips down the hill
Force up on inclined block = T
force down slope on inclined block = 28 (9.81 )sin 53 - 28 (9.81)(.9)cos53
a = acceleration down slope
28 a = 28 (9.81 )sin 53 - 28 (9.81)(.9)cos53 - T

Force down on hang mass = m g = 4*9.81
force up on hang mass = T
a = acceleration up

4 a = T- 4*9.81
or
28 a = 7 T - 28*9.81
so
28 (9.81 )sin 53 - 28 (9.81)(.9)cos53 - T = 7 T - 28*9.81
or
sin 53 - (.9)cos53 = 8 T/(28*9.81) - 1
or
8 T/(28*9.81) = 1 + sin 53 - (.9)cos53
solve for T
then go back and get a
then get d from
d = (1/2) a t^2
remember to multiply by 100 because it asks for cm, not meters

1. 👍 0
2. 👎 0
posted by Damon

## Similar Questions

1. ### Physics

A block of mass 0.4 kg rests on the inclined surface of a wedge of mass 1.7 kg. The wedge is acted upon by a horizontal force F~ and slides on a frictionless surface. The acceleration of gravity is 9.81 m/s2. If the coeﬃcient of

asked by Amanda and Leah on October 8, 2012
2. ### Physics

A block of mass 0.40 kg rests on the inclined surface of a wedge of mass 7.0 kg. The wedge is acted on by a horizontal force F with arrow and slides on a frictionless surface. a)If the coefficient of static friction between the

asked by John Smith on October 17, 2014
3. ### phisic

A block of mass m1 = 26 kg rests on a wedge of angle θ = 48∘ which is itself attached to a table (the wedge does not move in this problem). An inextensible string is attached to m1, passes over a frictionless pulley at the top

asked by al1974 on October 5, 2013
4. ### physics

A block of a mass of 1 kg rests on the inclined surface of a wedge of a mass of 2.2 kg. The wedge is acted upon by a horizontal force F and slides on a frictionless surface. The acceleration of gravity is 9.81 m/s^2. If the

asked by alexa on July 12, 2011
5. ### physics (elena)

A block of mass m1 = 28 kg rests on a wedge of angle θ = 47∘ which is itself attached to a table (the wedge does not move in this problem). An inextensible string is attached to m1, passes over a frictionless pulley at the top

asked by Anonymous on October 9, 2013
6. ### Physics

A block of mass m1 = 27 kg rests on a wedge of angle θ = 54∘ which is itself attached to a table (the wedge does not move in this problem). An inextensible string is attached to m1, passes over a frictionless pulley at the top

asked by Anonymous on October 10, 2013
7. ### physics

A block of mass m1 = 28 kg rests on a wedge of angle θ = 47∘ which is itself attached to a table (the wedge does not move in this problem). An inextensible string is attached to m1, passes over a frictionless pulley at the top

asked by matt on October 9, 2013
8. ### PHYSICS

A block of mass m1 = 28 kg rests on a wedge of angle θ = 53∘ which is itself attached to a table (the wedge does not move in this problem). An inextensible string is attached to m1, passes over a frictionless pulley at the top

asked by sel on January 28, 2014
9. ### physics

A block of mass m1 = 28 kg rests on a wedge of angle θ = 53∘ which is itself attached to a table (the wedge does not move in this problem). An inextensible string is attached to m1, passes over a frictionless pulley at the top

asked by sel on January 28, 2014
10. ### physics

A block of mass m1 = 28 kg rests on a wedge of angle θ = 47∘ which is itself attached to a table (the wedge does not move in this problem). An inextensible string is attached to m1, passes over a frictionless pulley at the top

asked by Anonymous on October 9, 2013

More Similar Questions