Physics, 04.08.2019 16:00, Evixie84

In order to find the magnitude of force f, we have to solve a system of two equations with both f and the normal force n unknown. use the methods we have learned to find an expression for f in terms of m, g, θ, and μs (no n).

Answers: 1

Show answers

Answers

The magnitude of force acting on a body can be determined by using a system of simultaneous equations based on the sum of forces acting on a body in equilibrium is zero

The expression for the force, F, in terms of m, g, θ, $\mu_s$ is presented as follows;

$Force, F = \mathbf{ \dfrac{\mu_s \cdot m \cdot g }{{cos\theta +sin\theta \cdot \mu_s } }}}$

Reason for arriving at the above expression is as follows;

Question; Part of the question that appear missing are;

The mass of the block = 10 kg

The force pulling the mass = F

The angle of elevation of the direction of the force, θ = 30°

The force of gravity, F_g = m × g

The normal force = N (upwards direction)

The static friction force, f_s = $\mu_s$ × N

The two separate equations in F and N are;

F·cos(θ) - $\mu_s$ ·N = 0

F·sin(θ) + N - m·g = 0

The equations above are based on the equilibrium of forces acting on the mass being pulled by a force directed at an angle θ above the horizontal

Required;

Finding an expression for F in terms of m, g, θ, and $\mu_s$

Method;

Make N the subject of the given system of equations, and equate both expressions of N as follows;

Finding the value of N based on the first equation, gives;

N = F·cos(θ)/ $\mu_s$

Finding the value of N based on the second equation, gives;

N = m·g - F·sin(θ)

Equating both values of N gives;

F·cos(θ)/ $\mu_s$ = m·g - F·sin(θ)

F·cos(θ)/ $\mu_s$ + F·sin(θ) = m·g

F·(cos(θ)/ $\mu_s$ + sin(θ)) = m·g

$F = \dfrac{m \cdot g }{\dfrac{cos\theta}{\mu_s} + sin\theta } = \dfrac{m \cdot g }{\dfrac{cos\theta +sin\theta \cdot \mu_s }{\mu_s} }} = \mathbf{\dfrac{\mu_s \cdot m \cdot g }{{cos\theta +sin\theta \cdot \mu_s } }}}$

Therefore;

$Force, F = \mathbf{ \dfrac{\mu_s \cdot m \cdot g }{{cos\theta +sin\theta \cdot \mu_s } }}}$

Learn more equilibrium of forces here:

link

In order to find the magnitude of force f, we have to solve a system of two equations with both f an

answered: Lilyy1k

An expression for f in terms of m, g, θ, and μs $\large{\boxed{\bold{F~=~\frac{{mg-\frac{fs_{max}}{\mu~s} } }{{sin\:\theta}}}}$ Further explanation

On an object, there is a resultant force

Four styles usually work on objects, including:

gravity force, normal force and friction force

Gravity force itself is expressed as weight

While the normal force is a force acting on the touch plane of two surfaces and the direction is perpendicular

Friction force is the force that occurs when two objects touch each other

The direction of friction is opposite to the direction of motion

In the event of friction, there is a static friction force (fs), which is the frictional force at the position of a stationary object and the kinetic friction force acting when the object is moving (fk).

The equation is stated in

fs = us.N

fk = uk.N

us = static friction

uk = kinetic friction

If we want to express the force of push/pull by including μs, then the condition of the object is right to going to move

When in a state of silence, the force works :

In the vertical direction

N + Fy-mg = 0 ...(equation 1)

Fy = force in the direction of the y-axis

Fy = F sin θ

While N is obtained from:

fsmax = μs.N (fsmax = when the object starts to move)

So the equation 1 becomes:

fsmax /μs + F sin θ -mg = 0

F sin θ = mg - fsmax / μs

F = (mg-fsmax /μs) / sin θ

Learn more

the magnitude of the resultant force

link

the net force on an object

link

multiple forces act on an object

link

Keywords: Friction, resultant force, weight

answered: Guest

Scientific classification

answered: Guest

Drink a pepsi cherry iced fruit shoot apple juice milkshake mocktail

Other questions on the subject: Physics

Physics, 21.06.2019 14:00, zombieslayas8500

Atransverse wave is traveling on a string stretched along the horizontal x-axis. the equation for the vertical displacement y of the string is given by y = (1.8 x 10-3)cos[π(13x - 60t)], where all quantities are in si units. what is the maximum speed of a particle of the string

Answers: 2

continue

Physics, 22.06.2019 09:30, xxtonixwilsonxx

True or false graphs must include scales that increase by the same amount

Answers: 1

continue

Physics, 23.06.2019 08:00, bunn95

Identify the arrows that represent the process of cooling..

Answers: 2

continue

Physics, 23.06.2019 10:40, sebastianartiloufym8

Amajor impediment to wide acceptance of electric vehicles even on the part of people who use their cars almost exclusively for commuting is the inability to use their electric vehicles for occasional extended trips. in an attempt to make purchasing electric vehicles more attractive to commuters, one electric vehicle producer is planning to offer customers three days free rental of a conventional car for every 1,000 miles that they drive their electric vehicle. which of the following, if true, most threatens the plan's prospects for success? (a) many electric vehicles that are used for commercial purposes are not needed for extended trips. (b) because a majority of commuters drive at least 100 miles a week, the cost to the producer of making good the offer would add considerably to the already high price of electric vehicles. (c) the relatively long time it takes to recharge the battery of an electric vehicle can easily be fitted into the regular patterns of car use characteristic of commuters. (d) although electric vehicles are essentially emission-free in actual use, generating the electricity necessary for charging an electric vehicle's battery can burden the environment. (e) some family vehicles are used primarily not for commuting but for making short local trips, such as to do errands.

Answers: 3

continue

Do you know the correct answer?

In order to find the magnitude of force f, we have to solve a system of two equations with both f an...