MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Direction of Friction

A cylinder of...

Question

A cylinder of weight $W$ and radius $R$ is to be raised onto a horizontal step of height $h$ as shown in figure. A rope is wrapped around the cylinder and pulled horizontally with force $F$ . Assuming the cylinder does not slip on the step, find the minimum force $F$ necessary to raise the cylinder.

Open in App

Solution

Clockwise moment $=$ anti $-$ clockwise moment
$F (R + h) = m g \times R$
$F = \frac{m g R}{R + h}$

Suggest Corrections

thumbs-up

1

Similar questions

Q. A cylinder of weight

W

R

horizontal step of height

h

as shown in fig. A rope is wrapped around the cylinder and pulled horizontally with force

F

. Assuming the cylinder does not slip on the step, the minimum force

F

necessary to raise the cylinder is given by

\frac{W \sqrt{x R h - h^{2}}}{(x R - h)}

. Find the value of

x

.

Q. A uniform cylinder of mass

M

R

is to be pulled over a step of height

a (a < R)

by applying a force

F

O

perpendicular to the plane through the axes of the cylinder on the edge of the step (see figure). The minimum value of

F

Q. A solid cylinder of

m

is placed touching a rough step of height

\frac{R}{4}

. A horizontal force F is applied at top point so that cylinder can roll over step without sliding.

A hollow cylinder of mass

M

R

is pulled by a horizontal force

F

acting at its centre of mass on a horizontal surface where the coefficient of friction is

μ

. The maximum value of

F

so that the cylinder may not slip is :

Q. A uniform solid cylinder of mass

m

rests on two horizontal planks. A thread is wound on the cylinder. The hanging end of the thread is pulled vertically down with a constant force

F

(figure shown above). Find the maximum magnitude of the force

F

which still does not bring about any sliding of the cylinder, if the coefficient of friction between the cylinder and the planks is equal to

k

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Friction in Rolling

PHYSICS

Watch in App

explore_more_icon

Explore more

Direction of Friction

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon