Question

The coefficient of
static friction between a certain hoop and a horizontal floor is
0.40. If the rotational inertia of the hoop about its symmetry axis
is given by I = MR |

Answer #1

We find the maximum acceleration a of the hoop using below formula

The relation between angular acceleration and linear acceleration is

And

Where frictional force

A crate of 31.6-kg tools rests on a horizontal floor. You exert
a gradually increasing horizontal push on it and observe that the
crate just begins to move when your force exceeds 309 N . After
that you must reduce your push to 248 N to keep it moving at a
steady 22.0 cm/s
What is the coefficient of static friction between the crate and
the floor?
What is the coefficient of kinetic friction between the crate
and the floor?...

A crate of 41.3-kg tools rests on a horizontal floor. You exert
a gradually increasing horizontal push on it and observe that the
crate just begins to move when your force exceeds 337 N . After
that you must reduce your push to 202 N to keep it moving at a
steady 20.0 cm/s .
Part A.) What is the coefficient of static friction between the
crate and the floor? (static fraction=???)
Part B.) What is the coefficient of kinetic...

A 5 kg box sits on an inclined plane. If the coefficient of
static friction between the plane and the box is µs = 0.15. What is
the maximum angle θmax that the plane can be inclined without the
box sliding?

A mass of 6 kg rests on a floor with a coefficient of static
friction of 0.95 and coefficient kinetic friction of 0.30. One
force is applied vertically downward of 22 Newtons and another
force is applied at an angle of 28 degrees below the horizontal.
Calculate what the magnitude this force needs to be in order to
begin to move the mass. If that force is removed and another force
is applied at an angle of 28 degrees above...

If the coefficient of static friction between a table and a
uniform massive rope is μs, what fraction of the rope can
hang over the edge of the table without the rope sliding?

1. A penguin wants to slide down a hill. If the coefficient of
static friction between the penguin’s belly and the hill is μs,
determine the minimum angle of the hill (θ) for which the penguin
could lay down and begin sliding. 3. If a hill is inclined at 30°
above horizontal, what’s the maximum coefficient of friction the
penguin can have and still slide down? Determine the maximum
coefficient if the hill is 45°. Do the values seem reasonable?...

A man of 75 kg is pushing a heavy box along flat floor. The
coefficient of sliding friction between the floor and the box is
0.20, and the coefficient of static friction between the man's
shoes and the floor is 0.80.
(a) If the man pushes downward on the box at an angle of 30
degrees, what is the maximum mass of the box he can move?
(b)If the man pushes upward on the box at an angle of 30...

Jacqueline is driving on a horizontal highway at 44.7
m/s. If the coefficient of static friction between road
and tires on a rainy day is 0.48, what is the
minimum distance in which Jacqueline's car will stop? Take
g as 9.8 ms-2

Suppose the coefficient of static friction between a dime and
the back wall of a rocket car is 0.307. At what minimum rate (in
m/s2) would the car have to accelerate so that a dime
placed on the back wall would remain in place?

Describe how you would go about estimating the static friction
coefficient between an object and a horizontal surface. Discuss
your methodology and results.

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