Normal Force for Shoe Brake if Line of Action of Tangential Force Passes below Fulcrum (Clockwise) Calculator

✖Force Applied at the End of the Lever is the force exerted at the end of a lever, which is a rigid bar used to multiply force.ⓘ Force Applied at the End of the Lever [P]			+10% -10%
✖Distance b/w Fulcrum and End of Lever is known as the lever arm or moment arm. It determines the lever's mechanical advantage by influencing the force required to lift or move an object.ⓘ Distance b/w Fulcrum and End of Lever [l]			+10% -10%
✖Distance b/w Fulcrum and Axis of Wheel is the length of the line segment connecting the fulcrum and the axis of rotation of a wheel.ⓘ Distance b/w Fulcrum and Axis of Wheel [x]			+10% -10%
✖Coefficient of Friction for Brake is a dimensionless scalar value that characterizes the ratio of the frictional force to the normal force between two surfaces in contact.ⓘ Coefficient of Friction for Brake [μ_brake]			+10% -10%
✖Shift in Line of Action of Tangential Force is the change in direction of the line of action of a tangential force acting on an object.ⓘ Shift in Line of Action of Tangential Force [a_shift]			+10% -10%

✖Normal Force is the force exerted by a surface against an object that is in contact with it, usually perpendicular to the surface.ⓘ Normal Force for Shoe Brake if Line of Action of Tangential Force Passes below Fulcrum (Clockwise) [Fn]

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Formula

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Normal Force for Shoe Brake if Line of Action of Tangential Force Passes below Fulcrum (Clockwise)

Formula

Fn = \frac{P \cdot l}{x + μ brake \cdot a shift}

Example

10.91473 N = \frac{32 N \cdot 1.1 m}{2 m + 0.35 \cdot 3.5 m}

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Normal Force for Shoe Brake if Line of Action of Tangential Force Passes below Fulcrum (Clockwise) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Normal Force = (Force Applied at the End of the Lever*Distance b/w Fulcrum and End of Lever)/(Distance b/w Fulcrum and Axis of Wheel+Coefficient of Friction for Brake*Shift in Line of Action of Tangential Force)
Fn = (P*l)/(x+μ_brake*a_shift)
This formula uses 6 Variables

Variables Used

Normal Force - (Measured in Newton) - Normal Force is the force exerted by a surface against an object that is in contact with it, usually perpendicular to the surface.
Force Applied at the End of the Lever - (Measured in Newton) - Force Applied at the End of the Lever is the force exerted at the end of a lever, which is a rigid bar used to multiply force.
Distance b/w Fulcrum and End of Lever - (Measured in Meter) - Distance b/w Fulcrum and End of Lever is known as the lever arm or moment arm. It determines the lever's mechanical advantage by influencing the force required to lift or move an object.
Distance b/w Fulcrum and Axis of Wheel - (Measured in Meter) - Distance b/w Fulcrum and Axis of Wheel is the length of the line segment connecting the fulcrum and the axis of rotation of a wheel.
Coefficient of Friction for Brake - Coefficient of Friction for Brake is a dimensionless scalar value that characterizes the ratio of the frictional force to the normal force between two surfaces in contact.
Shift in Line of Action of Tangential Force - (Measured in Meter) - Shift in Line of Action of Tangential Force is the change in direction of the line of action of a tangential force acting on an object.

STEP 1: Convert Input(s) to Base Unit

Force Applied at the End of the Lever: 32 Newton --> 32 Newton No Conversion Required
Distance b/w Fulcrum and End of Lever: 1.1 Meter --> 1.1 Meter No Conversion Required
Distance b/w Fulcrum and Axis of Wheel: 2 Meter --> 2 Meter No Conversion Required
Coefficient of Friction for Brake: 0.35 --> No Conversion Required
Shift in Line of Action of Tangential Force: 3.5 Meter --> 3.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Fn = (P*l)/(x+μ_brake*a_shift) --> (32*1.1)/(2+0.35*3.5)

Evaluating ... ...

Fn = 10.9147286821705

STEP 3: Convert Result to Output's Unit

10.9147286821705 Newton --> No Conversion Required

FINAL ANSWER

10.9147286821705 ≈ 10.91473 Newton <-- Normal Force

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Brakes and Dynamometers » Mechanical » Force » Normal Force for Shoe Brake if Line of Action of Tangential Force Passes below Fulcrum (Clockwise)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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Normal Force for Shoe Brake if Line of Action of Tangential Force Passes below Fulcrum (Clockwise) Formula

What is Line of Action?

The line of action is an imaginary line that extends along the direction of a force. It represents where the force is applied and affects how the force influences an object's motion or equilibrium. Understanding the line of action is essential for analyzing forces and torques in mechanical systems.

How to Calculate Normal Force for Shoe Brake if Line of Action of Tangential Force Passes below Fulcrum (Clockwise)?

Normal Force for Shoe Brake if Line of Action of Tangential Force Passes below Fulcrum (Clockwise) calculator uses Normal Force = (Force Applied at the End of the Lever*Distance b/w Fulcrum and End of Lever)/(Distance b/w Fulcrum and Axis of Wheel+Coefficient of Friction for Brake*Shift in Line of Action of Tangential Force) to calculate the Normal Force, Normal Force for Shoe Brake if Line of Action of Tangential Force Passes below Fulcrum (Clockwise) formula is defined as the force exerted by the brake shoe on the rotating wheel to slow it down, which depends on the tangential force, pivot point, and brake efficiency, and is crucial in designing effective braking systems in vehicles and machinery. Normal Force is denoted by Fn symbol.

How to calculate Normal Force for Shoe Brake if Line of Action of Tangential Force Passes below Fulcrum (Clockwise) using this online calculator? To use this online calculator for Normal Force for Shoe Brake if Line of Action of Tangential Force Passes below Fulcrum (Clockwise), enter Force Applied at the End of the Lever (P), Distance b/w Fulcrum and End of Lever (l), Distance b/w Fulcrum and Axis of Wheel (x), Coefficient of Friction for Brake (μ_brake) & Shift in Line of Action of Tangential Force (a_shift) and hit the calculate button. Here is how the Normal Force for Shoe Brake if Line of Action of Tangential Force Passes below Fulcrum (Clockwise) calculation can be explained with given input values -> 10.91473 = (32*1.1)/(2+0.35*3.5).

FAQ

What is Normal Force for Shoe Brake if Line of Action of Tangential Force Passes below Fulcrum (Clockwise)?

Normal Force for Shoe Brake if Line of Action of Tangential Force Passes below Fulcrum (Clockwise) formula is defined as the force exerted by the brake shoe on the rotating wheel to slow it down, which depends on the tangential force, pivot point, and brake efficiency, and is crucial in designing effective braking systems in vehicles and machinery and is represented as Fn = (P*l)/(x+μ_brake*a_shift) or Normal Force = (Force Applied at the End of the Lever*Distance b/w Fulcrum and End of Lever)/(Distance b/w Fulcrum and Axis of Wheel+Coefficient of Friction for Brake*Shift in Line of Action of Tangential Force). Force Applied at the End of the Lever is the force exerted at the end of a lever, which is a rigid bar used to multiply force, Distance b/w Fulcrum and End of Lever is known as the lever arm or moment arm. It determines the lever's mechanical advantage by influencing the force required to lift or move an object, Distance b/w Fulcrum and Axis of Wheel is the length of the line segment connecting the fulcrum and the axis of rotation of a wheel, Coefficient of Friction for Brake is a dimensionless scalar value that characterizes the ratio of the frictional force to the normal force between two surfaces in contact & Shift in Line of Action of Tangential Force is the change in direction of the line of action of a tangential force acting on an object.

How to calculate Normal Force for Shoe Brake if Line of Action of Tangential Force Passes below Fulcrum (Clockwise)?

Normal Force for Shoe Brake if Line of Action of Tangential Force Passes below Fulcrum (Clockwise) formula is defined as the force exerted by the brake shoe on the rotating wheel to slow it down, which depends on the tangential force, pivot point, and brake efficiency, and is crucial in designing effective braking systems in vehicles and machinery is calculated using Normal Force = (Force Applied at the End of the Lever*Distance b/w Fulcrum and End of Lever)/(Distance b/w Fulcrum and Axis of Wheel+Coefficient of Friction for Brake*Shift in Line of Action of Tangential Force). To calculate Normal Force for Shoe Brake if Line of Action of Tangential Force Passes below Fulcrum (Clockwise), you need Force Applied at the End of the Lever (P), Distance b/w Fulcrum and End of Lever (l), Distance b/w Fulcrum and Axis of Wheel (x), Coefficient of Friction for Brake (μ_brake) & Shift in Line of Action of Tangential Force (a_shift). With our tool, you need to enter the respective value for Force Applied at the End of the Lever, Distance b/w Fulcrum and End of Lever, Distance b/w Fulcrum and Axis of Wheel, Coefficient of Friction for Brake & Shift in Line of Action of Tangential Force and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Normal Force?

In this formula, Normal Force uses Force Applied at the End of the Lever, Distance b/w Fulcrum and End of Lever, Distance b/w Fulcrum and Axis of Wheel, Coefficient of Friction for Brake & Shift in Line of Action of Tangential Force. We can use 3 other way(s) to calculate the same, which is/are as follows -

Normal Force = (Force Applied at the End of the Lever*Distance b/w Fulcrum and End of Lever)/(Distance b/w Fulcrum and Axis of Wheel-Coefficient of Friction for Brake*Shift in Line of Action of Tangential Force)
Normal Force = (Force Applied at the End of the Lever*Distance b/w Fulcrum and End of Lever)/(Distance b/w Fulcrum and Axis of Wheel+Coefficient of Friction for Brake*Shift in Line of Action of Tangential Force)
Normal Force = (Force Applied at the End of the Lever*Distance b/w Fulcrum and End of Lever)/(Distance b/w Fulcrum and Axis of Wheel-Coefficient of Friction for Brake*Shift in Line of Action of Tangential Force)

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