Question

Two masses, m1 and m2 hang over a frictionless pulley by means of a massless string. They are perfectly balanced when a flea of mass m3 is standing on m2. When the flea hops from one mass to the other, the system acquires an acceleration, a. What is the value of the flea's mass, m3 in terms of two masses, m1 and m2, and the acceleration, a? (a) what is m3 in terms of m1 and m2? (b) what is m3 in terms of m1 and a? (c) what is m3 in terms of m2 and a?

Answer #1

a) let T be the tension in the string

When the system is at rest,

m1g = T and

T =( m2+m3)g

m3 = m1-m2

Now whne the feal hops from m2 to m1 the system set into acceleration. m1 moves down and m2 moves up, let a be the acceleartion, as the string s of constant length, m1 and m2 will have the same acceleration

The equations of motion are

(m1+m3)a = (m1+m3)g - T

T - m2g = m2a

eliminating T from both

(m1+m3)a = (m1+m3)g - m2(a+g)

a = (m1+m3-m2)g/(m1+m3+m2)

= (m1-m2)g/m1

= m3g/m1

m3 = m1a/g

= m2a/(g-a) , putting m1= m2+m3 and rearrange

Two masses are connected by a massless string and a frictionless
pulley. The masses of the blocks are; m1=500 g and m2= 150g. The
coefficiant of friction between m1 and the surface is 0.25. (a)
What is the acceleration of the masses? (b) What is the tension in
the string?

Two masses are connected by a massless string, passing over a
massless, frictionless pulley as shown in the diagram. Mass
m1 = 5 kg, and is released from rest at a
height h = 4 m above the table. Mass
m2 = 3 kg, and starts at rest on the table.
Ignore friction and air resistance. Take the system to be the two
masses and the earth. What is the potential energy of this system,
in Joules? Next, you let...

Two blocks with masses M1 and M2 are connected by a massless
string that passes over a massless pulley as shown.
M1 has a mass of 2.25 kg and is on an incline of θ1=46.5∘ with
coefficient of kinetic friction μ1=0.205.
M2 has a mass of 6.05 kg and is on an incline of θ2=33.5∘ with
coefficient of kinetic friction μ2=0.105.
The two‑block system is in motion with the block of mass M2
sliding down the ramp.
Find the magnitude...

Two blocks with masses M1 and M2 are connected by a massless
string that passes over a massless pulley as shown. M1 has a mass
of 2.25 kg and is on an incline of 49.5° with coefficient of
kinetic friction ?1 = 0.205. M2 has a mass of 5.45 kg and is on an
incline of 31.5° with coefficient of kinetic friction ?2 = 0.105.
Find the magnitude of the acceleration of M2 down the incline.

Two masses M1 and M2 are connected by an inextensible
flexible massless string. The mass rests on a table with frictional
co-efficient 0.2. The string passes over a smooth fixed pulley as
shown. Initially the string is slack The mass M2 is allowed to fall
freely from rest. The string becomes taught when the mass M2 falls
through 50 cm. The two masses subsequently move with common
velocity. Determine how far mass M1 will travel on the table before
coming...

Two masses M1=2kg and M2 are attached by a massless cord over a
solid pulley wheel of mass M=4kg, and radius R=5cm. Static Friction
between the cord and the pulley makes the pulley rotate
counter-clockwise when the system is released from rest, M1
accelerates with a magnitude of 3.92 m/s2 .
a) Draw and label the forces acting on the two blocks, and the
pulley. (6 points)
b) Find the tension in the cord between the pulley and M1 (6...

An Atwood's machine consists of two masses, m1 and m2, connected
by a string that passes over a pulley. If the pulley is a disk of
radius R and mass M, find the acceleration of the masses.
Express your answer in terms of the variables m1, m2, R,
M, and appropriate constants.

A system comprises two objects, a massless string, a
frictionless (but not massless) pulley and the Earth. The objects,
1 and 2, have masses of 0.111 and 0.316 kg, respectively, and hang
from opposite ends of the string, which is draped over the pulley.
The pulley has a radius of 0.100 m. Initially, you are holding
Object 1 to keep the system from moving. Then you let go, allowing
the objects to move a vertical distance of 1.00 m and...

Two blocks (m1=5.5kg, m2=7.2kg
) are connected by a string that passes through a massless pulley
as shown in the Figure. The first block with mass
m1 slides up the inclined
plane when the system is released. The inclined plane makes an
angle θ = 310 with the
horizontal and the kinetic friction coefficient between the
inclined plane and m1 is
=0.35. Take g=10m/s2 Find
the speed of the block with mass m2 after it travels
h=5.6m.

In the figure, the two blocks are attached by a massless rope
over a frictionless pulley, and block M1 slides on the table
without friction. The masses of the blocks are: M1 = 7.90kg and M2
= 3.70kg. Calculate the tension in the rope. ( g = 9.80
m/s2)

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 4 minutes ago

asked 30 minutes ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 4 hours ago

asked 4 hours ago