Question

Question 1

Part a) Two objects are connected by a light string passing over
a light, frictionless pulley as shown in the figure below. The
object of mass *m*_{1} = 6.40 kg is released from
rest at a height *h* = 3.20 m above the table. Find the
maximum height above the table to which the 3.00–kg object
rises.

Part b)A smooth circular hoop with a radius of 0.900 m is placed flat on the floor. A 0.375-kg particle slides around the inside edge of the hoop. The particle is given an initial speed of 8.50 m/s. After one revolution, its speed has dropped to 5.50 m/s because of friction with the floor.What is the total number of revolutions the particle makes before stopping? Assume the friction force remains constant during the entire motion.

Answer #1

Two masses are connected by a light string passing over a light,
frictionless pulley as in Figure P5.63. The m1
= 4.75 kg object is released from rest at a point 4.00 m above the
floor, where the m2 = 3.20 kg object rests.
Please define all variables in solving
(a) Determine the speed of each object when the two pass each
other.
(b) Determine the speed of each object at the moment the 4.75 kg
mass hits the floor....

Two masses are connected by a light string passing over a
light, frictionless pulley, as shown in the figure below. The
object of mass m1 is released from rest at height h above the
table. Use the isolated system model to answer the following. (We
assume m1 > m2.)
(a) Determine the speed of m2 just as m1 hits the ground. (Use
any variable or symbol stated above along with the following as
necessary: g.)
v =
(b) Find the...

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 objects are connected to a rope, and the rope is hung over a
pulley connected to the ceiling, as shown in the figure below.
Two objects, labeled m1 and
m2, are connected to a rope which is hung over
a pulley connected to the ceiling. The pulley is of mass M
and radius R. An object labeled m1
hangs suspended off the surface on the left side of the pulley. An
object m2 is on the right side of...

In the figure below the two blocks are connected by a string of
negligible mass passing over a frictionless pulley.
m1 = 10.0 kg and m2 = 5.50
kg and the angle of the incline is θ = 39.0°. Assume that
the incline is smooth. (Assume the +x direction is down
the incline of the plane.)
(a)
With what acceleration (in m/s2) does the mass
m2 move on the incline surface? Indicate the
direction with the sign of your answer....

Two blocks of mass m1 = 9.20 kg and m2 are connected by a light
string. When a horizontal force F = 105 N is applied to m1 as shown
in the figure below, the acceleration of the system is 3.20 m/s2
towards the left and the tension in the string connecting the two
blocks is 62.0 N. The blocks are moving on a rough surface with an
unknown coefficient of kinetic friction. Determine the coefficient
of kinetic friction between...

Two masses, m1=2.00kg and
m2=1.00kg, are connected
together by a light string which passes over a light frictionless
pulley. The coefficient of friction bewteen m1 and
m2 is 0.35 and the friction
between m1 and the incline in negligible. If the mass,
m1, is initially moving down the incline find: a) th
acceleration of m2 and b) the
tension in the string. The incline is a 30 degree angle and the
m2 block is on top of m1 block.

In the figure below, the hanging object has a mass of
m1 = 0.370 kg; the sliding block has a mass of
m2 = 0.900 kg; and the pulley is a hollow
cylinder with a mass of M = 0.350 kg, an inner radius of
R1 = 0.020 0 m, and an outer radius of
R2 = 0.030 0 m. Assume the mass of the spokes
is negligible. The coefficient of kinetic friction between the
block and the horizontal surface...

Two blocks are connected by a string that passes over a
massless, frictionless pulley, as shown in the figure. Block A,
with a mass mA = 2.00 kg, rests on a ramp
measuring 3.0 m vertically and 4.0 m horizontally. Block B hangs
vertically below the pulley. Note that you can solve this exercise
entirely using forces and the constant-acceleration equations, but
see if you can apply energy ideas instead. Use g = 10
m/s2. When the system is released...

There are two weights of the same mass of 2.0 kg2.0 kg attached
to a string looped over a braked pulley.
The left weight is lying on the floor, the right one is
suspended 1.0 m1.0 m above the floor.
There is another weight of mass 0.5 kg0.5 kg attached to the
string 20 cm20 cm above the right weight.
The string except the part around the pulley is stretched
vertically. We eventually release the pulley.
What is the speed...

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