Question

A block weighing 87.5 N rests on a plane inclined at 25.0° to
the horizontal. A force *F* is applied to the object at
50.0° to the horizontal, pushing it upward on the plane. The
coefficients of static and kinetic friction between the block and
the plane are, respectively, 0.377 and 0.156.

(a) What is the minimum value of *F* that will prevent
the block from slipping down the plane?

N

(b) What is the minimum value of *F* that will start the
block moving up the plane?

N

(c) What value of *F* will move the block up the plane with
constant velocity?

N

Answer #1

here,

weight , W = 87.5 N

theta = 25 degree

phi = 50 degree

a)

the minimum value of F that will prevent the block from slipping down the plane be F

F * cos(phi) + us * ( m * g * cos(theta) - F * sin(theta) ) = m * g * sin(theta)

F * cos(50) + 0.277 * ( 87.5 * cos(25) - F * sin(50)) = 87.5 * sin(25)

solving for F

F = 34.9 N

b)

the minimum value of F that will prevent the block from moving up the plane be F

F * cos(phi) = us * ( m * g * cos(theta) - F * sin(theta) ) + m * g * sin(theta)

F * cos(50) = 0.377 * ( 87.5 * cos(25) - F * sin(50)) + 87.5 * sin(25)

solving for F

F = 71.8 N

c)

let the minimum force be F

F * cos(phi) = uk * ( m * g * cos(theta) - F * sin(theta) ) + m * g * sin(theta)

F * cos(50) = 0.156 * ( 87.5 * cos(25) - F * sin(50)) + 87.5 * sin(25)

solving for F

F = 64.7 N

Consider an inclined plane at an angle of 40.0°, with a kinetic
coefficient of friction of 0.350 and a static coefficient of
friction of 0.450. A block with mass of 50.0 kg is on the incline
and initially at rest. A force of 535 N, parallel to the incline,
pushes the block a distance of 10.0 m up the incline. Do the
following:
a) Determine the speed of the object at the end of this
displacement using Newton’s Laws of...

A wooden block rests on an inclined wooden plane. The
significant forces acting on the block are (select all that
apply)
A. the block's acceleration.
B. the normal force that the inclined plane exerts
on the block.
C. friction.
D. air resistance.
E. the gravitational force that the inclined plane
exerts on the block.
F. the gravitational force that the Earth exerts
on the block.
G. the tension force that the inclined plane
exerts on the block.
H. another force...

A block of weight w = 25.0 N sits on a frictionless
inclined plane, which makes an angle θ = 20.0 ∘ with
respect to the horizontal, as shown in the figure. (Figure 1)A
force of magnitude F = 8.55 N , applied parallel to the
incline, is just sufficient to pull the block up the plane at
constant speed.
Part B
What is Wg, the work done on the block by the force of
gravity w⃗ as the block moves...

A block of mass4 kgkg is dragged up an inclined
plane. The plane is inclined at an angle of 45degrees to the
horizontal. The coefficient of kinetic friction between the block
and the plane is 0.5.
What force is needed to drag the block up the plane at a
constant speed?
What force is needed to accelerate the block up the plane at a
rate of 5 meters per second squared?
If the force acting in Part-B drags the block by...

The 5 kg block is receiving a horizontal force of 50 N on the inclined side. The angle between the block and the slope is 30 degrees and the static friction coefficient is 0.3. (1) When the block goes up, what is the acceleration? (2) If the initial speed of the block was 4m/s upward, to what height can the block go up? (3) What happens after the block goes up to its highest height?

The 5 kg block is receiving a horizontal force of 50 N on the inclined side. The angle between the block and the slope is 30 degrees and the static friction coefficient is 0.3. (1) When the block goes up, what is the acceleration? (2) If the initial speed of the block was 4m/s upward, to what height can the block go up? (3) What happens after the block goes up to its highest height?

The 50-kg crate is resting on an inclined plane 15 deg. with
respect to the horizontal. The coefficient of static friction is
0.2 and coefficient of kinetic friction is 0.15. If a force P,
acting upward and parallel to the inclined plane is applied to the
crate, determine the resulting acceleration of the crate if
P=150N.

A 5.00-kg 5.00-kg block is sent up a ramp inclined at an angle
?= 25.0 ∘ θ=25.0∘ from the horizontal. It is given an initial
velocity ? 0 =15.0 m/s v0=15.0 m/s up the ramp. Between the block
and the ramp, the coefficient of kinetic friction is ? k =0.50
μk=0.50 and the coefficient of static friction is ? s =0.60.
μs=0.60. What distance ? D along the ramp's surface does the block
travel before it comes to a stop?

A block with mass ?1 is placed on an inclined plane with slope
angle ? and is connected to a hanging block with mass ?2 by a cord
passing over a small, frictionless pulley. The coefficient of
static friction is ?s, and the coefficient of kinetic friction is
?k.
(a) Find the value of ?2 for which the block of mass ?1 moves up
the plane at a constant speed once it is set in motion
(b) Find the value...

3-A 1.0 kg block slides down an inclined plane of 39
0 from the horizontal. If the
block starts from rest and hits the bottom in 5.1 s,
what is the speed of the block, in the unit m/s, at the bottom of
the incline? Assume a frictionless plane.
4-A bus negotiates a turn of radius 103 m while traveling at a
speed of 92 km/h. If slipping just begins at this speed, what is
the coefficient of static friction between the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 2 minutes ago

asked 5 minutes ago

asked 7 minutes ago

asked 7 minutes ago

asked 9 minutes ago

asked 9 minutes ago

asked 13 minutes ago

asked 15 minutes ago

asked 16 minutes ago

asked 18 minutes ago

asked 21 minutes ago