A (2m) a d Fr smg B (3m) The coefficient of friction between A and the plane is 2 Particle A is released and begins to move up the plane. For the motion before A reaches the pulley, be F = ma Figure 4 One end of a light inextensible string is attached to a particle A of mass 2m. The other end of the string is attached to a particle B of mass 3m. The string passes over a small, smooth, light pulley P which is fixed 3 Эту at the top of a rough inclined plane. The plane is inclined to the horizontal at an angle a, where tan a = 4 Particle A is held at rest on the plane with the string taut and B hanging freely below P, as shown in Figure 4. The section of the string AP is parallel to a line of greatest slope of the plane. a изкузнавативата (a) (i) write down an equation of motion for A, (ii) write down an equation of motion for B, 13g ba] m (277LE томи be (b) find, in terms of g, the acceleration of A, врадя 11 (c) find the magnitude of the force exerted on the pulley by the string. (d) State how you have used the information that P is a smooth pulley.

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter6: Motion In Two Dimensions
Section6.3: Relative Velocity
Problem 27PP
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A (2m)
a
d
Fr
smg
B (3m)
The coefficient of friction between A and the plane is 2
Particle A is released and begins to move up the plane.
For the motion before A reaches the pulley,
be
F = ma
Figure 4
One end of a light inextensible string is attached to a particle A of mass 2m. The other end of the string is
attached to a particle B of mass 3m. The string passes over a small, smooth, light pulley P which is fixed
3
Эту
at the top of a rough inclined plane. The plane is inclined to the horizontal at an angle a, where tan a = 4
Particle A is held at rest on the plane with the string taut and B hanging freely below P, as shown in
Figure 4. The section of the string AP is parallel to a line of greatest slope of the plane.
a
изкузнавативата
(a)
(i) write down an equation of motion for A,
(ii) write down an equation of motion for B,
13g ba] m (277LE
томи
be
(b)
find, in terms of g, the acceleration of A,
врадя
11
(c) find the magnitude of the force exerted on the pulley by the string.
(d) State how you have used the information that P is a smooth pulley.
Transcribed Image Text:A (2m) a d Fr smg B (3m) The coefficient of friction between A and the plane is 2 Particle A is released and begins to move up the plane. For the motion before A reaches the pulley, be F = ma Figure 4 One end of a light inextensible string is attached to a particle A of mass 2m. The other end of the string is attached to a particle B of mass 3m. The string passes over a small, smooth, light pulley P which is fixed 3 Эту at the top of a rough inclined plane. The plane is inclined to the horizontal at an angle a, where tan a = 4 Particle A is held at rest on the plane with the string taut and B hanging freely below P, as shown in Figure 4. The section of the string AP is parallel to a line of greatest slope of the plane. a изкузнавативата (a) (i) write down an equation of motion for A, (ii) write down an equation of motion for B, 13g ba] m (277LE томи be (b) find, in terms of g, the acceleration of A, врадя 11 (c) find the magnitude of the force exerted on the pulley by the string. (d) State how you have used the information that P is a smooth pulley.
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