A 5 kg box is on a inclined plane, between the surface of the box and...
Homework Answers
There are three forces acting on the box: mg is the gravitational
force of the Earth, N is the normal force applied by the inclined plane, and F is the force of friction applied by the inclined plane. The free-body diagram of the box is shown below:
The gravitational force of Earth is resolved into components parallel and perpendicular to the incline. The box is not allowed to move perpendicular to the incline, the net force on the box in this direction must be zero.
Case I: When the box is not moving
The force of friction is the static force of friction
Substituting 
we get
The force of static friction will not be necessarily equal to 38.6N, it will take whatever value is necessary to keep the box stationary. However, the maximum force that the static friction can apply is 38.6N.
To keep the box stationary we require
Substituting 
we get
The static force of friction required to keep the box stationary
is 8.51N. Note that if was
greater than 38.6N, the box will not remain
stationary.
Case II: When 
When ,
The component of gravitational force along the incline is greater than the maximum force (38.6N) which the static friction can apply. Therefore, the box will move. The force of kinetic friction is
Let a be the acceleration of the box. The equation of motion of the box is
Substituting 
we get
There are three forces acting on the box: mg is the gravitational
force of the Earth, N is the normal force applied by the inclined plane, and F is the force of friction applied by the inclined plane. The free-body diagram of the box is shown below:
The gravitational force of Earth is resolved into components parallel and perpendicular to the incline. The box is not allowed to move perpendicular to the incline, the net force on the box in this direction must be zero.
Case I: When the box is not moving
The force of friction is the static force of friction
Substituting 
we get
The force of static friction will not be necessarily equal to 38.6N, it will take whatever value is necessary to keep the box stationary. However, the maximum force that the static friction can apply is 38.6N.
To keep the box stationary we require
Substituting 
we get
The static force of friction required to keep the box stationary
is 8.51N. Note that if was
greater than 38.6N, the box will not remain
stationary.
Case II: When 
When ,
The component of gravitational force along the incline is greater than the maximum force (38.6N) which the static friction can apply. Therefore, the box will move. The force of kinetic friction is
Let a be the acceleration of the box. The equation of motion of the box is
Substituting 
we get
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A 5
kg box is on a inclined plane, between the surface of the box and...
A box of m = 50 kg is on an inclined plane with θ = 22...
A box of m = 50 kg is on an inclined plane with θ = 22 degrees. You are exerting a force of 100 N parallel to the plane and up the plane as shown. If the box is at rest and the coefficient of static friction between the box and the surface of the plane is 0.4, what is the force due to static friction on the box? 182 N 84 N 284 N 100 N OON
4) The 20kg box A which is sitting on an inclined rough surface is being pushed...
4) The 20kg box A which is sitting on an inclined rough surface is being pushed with the force F. The orientation of force F does not change however magnitude is gradually increased. Given that coefficient of static friction is 0.8 and coefficient of kinetic friction is 0.5, determine initial acceleration of box A 5° S.
When in the position shown, the 5 kg box is moving down the inclined plane at...
When in the position shown, the 5 kg box is moving down the inclined plane at a speed of 6m/s. What is the maximum force in the spring after the box hits it? The coefficient of kinetic friction between the box and the plane, is meu_k = 0.25, and the spring constant is k = 4 kN/m.
A Block Of Mass M=10 Kg Is Being Pushed On A Inclined Plane , Angle 30...
A Block Of Mass M=10 Kg Is Being Pushed On A Inclined Plane , Angle 30 Degrees, With A Force Of 1000 Newton's Parallel To The Plane, the coefficient of kinetic friction between the block and the inclined plane is 0.5. What is the acceleration of the block? For gravity, use 10m/s/s.
1. The figure shows a box with mass m1 on a frictionless plane inclined at angle...
1. The figure shows a box with mass m1 on a
frictionless plane inclined at angle ?1. The
box is
connected via a cord of negligible mass to another
box with mass m2 on a frictionless plane
inclined at
angle ?2 (> ?1). The pulley
is frictionless and has
negligible mass and assumes that the setup is on the
surface of the earth.
a) Provide free-body force diagram for both boxes.
b) What is the acceleration in terms of m1,...
Ex: Friction and inclined plane. A box of mass 10 kilograms is placed on an inclined...
Ex: Friction and inclined plane. A box of mass 10 kilograms is placed on an inclined plane so that it is at rest. The coefficients of static and kinetic friction between the surfaces of the plane and the box Are 0.4 and 0.3 respectively. a) For what value of the angle of inclination of the plane the box will start sliding down the plane ? b) Find out its acceleration as it slides down the plane. We were unable to...
a box of mass 25 kg is resting on an inclined plane, which is inclined at...
a box of mass 25 kg is resting on an inclined plane, which is inclined at an angle of 35 degrees with the horizontal what is the coefficient of static friction
Rope connected two objects in the inclined plane, A block of mass m1 = 22.9 kg...
Rope connected two objects in the inclined plane, A block of mass m1 = 22.9 kg is at rest on a plane inclined at Theta = 35.0 degree above the horizontal. The block is connected via a rope and mass less pulley system to another block of mass m2 = 26.1 kg. as shown in the figure. The coefficients of static and kinetic friction between block 1 and the inclined plane Is MU_s is unknown. If the blocks are released...
A mover is pushing a 88Kg box up a ramp. the ramp is inclined at an...
A mover is pushing a 88Kg box up a ramp. the ramp is inclined at
an angle of 30.2 degree.for all parts the coefficent of kinetic
friction is 0.18.
Part B =719.327N
(F) Calculate the normal force the ramp exerts on the box if the mover pushes the box with twice the force from part (B) but at an angle of 11.2 degrees below the plane of the ramp (G) If the mover pushes the box with twice the force...
A 5 kg block is released from rest on a plane with a rough surface that...
A 5 kg block is released from rest on a plane with a rough surface that is inclined at 25 degree. The coefficient of kinetic friction between the block and the plate is 0.2 and the coefficient of state friction between the block and the plane is 0.5. Draw a free body diagram of the block. What is the acceleration of the block? For the system below, m1 = 10 kg and m2 = 15 kg. The table and pulley...
A box of m = 50 kg is on an inclined plane with θ = 22 degrees. You are exerting a force of 100 N parallel to the plane and up the plane as shown. If the box is at rest and the coefficient of static friction between the box and the surface of the plane is 0.4, what is the force due to static friction on the box? 182 N 84 N 284 N 100 N OON
4) The 20kg box A which is sitting on an inclined rough surface is being pushed with the force F. The orientation of force F does not change however magnitude is gradually increased. Given that coefficient of static friction is 0.8 and coefficient of kinetic friction is 0.5, determine initial acceleration of box A 5° S.
When in the position shown, the 5 kg box is moving down the inclined plane at a speed of 6m/s. What is the maximum force in the spring after the box hits it? The coefficient of kinetic friction between the box and the plane, is meu_k = 0.25, and the spring constant is k = 4 kN/m.
1. The figure shows a box with mass m1 on a
frictionless plane inclined at angle ?1. The
box is
connected via a cord of negligible mass to another
box with mass m2 on a frictionless plane
inclined at
angle ?2 (> ?1). The pulley
is frictionless and has
negligible mass and assumes that the setup is on the
surface of the earth.
a) Provide free-body force diagram for both boxes.
b) What is the acceleration in terms of m1,...
Ex: Friction and inclined plane. A box of mass 10 kilograms is placed on an inclined plane so that it is at rest. The coefficients of static and kinetic friction between the surfaces of the plane and the box Are 0.4 and 0.3 respectively. a) For what value of the angle of inclination of the plane the box will start sliding down the plane ? b) Find out its acceleration as it slides down the plane. We were unable to...
Rope connected two objects in the inclined plane, A block of mass m1 = 22.9 kg is at rest on a plane inclined at Theta = 35.0 degree above the horizontal. The block is connected via a rope and mass less pulley system to another block of mass m2 = 26.1 kg. as shown in the figure. The coefficients of static and kinetic friction between block 1 and the inclined plane Is MU_s is unknown. If the blocks are released...
A mover is pushing a 88Kg box up a ramp. the ramp is inclined at
an angle of 30.2 degree.for all parts the coefficent of kinetic
friction is 0.18.
Part B =719.327N
(F) Calculate the normal force the ramp exerts on the box if the mover pushes the box with twice the force from part (B) but at an angle of 11.2 degrees below the plane of the ramp (G) If the mover pushes the box with twice the force...
A 5 kg block is released from rest on a plane with a rough surface that is inclined at 25 degree. The coefficient of kinetic friction between the block and the plate is 0.2 and the coefficient of state friction between the block and the plane is 0.5. Draw a free body diagram of the block. What is the acceleration of the block? For the system below, m1 = 10 kg and m2 = 15 kg. The table and pulley...
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