# Rotational Motion Force Question

• mits08
In summary, the conversation discusses a problem involving a uniform ladder resting against a frictionless wall and the forces exerted on it. The first part involves finding the horizontal and vertical forces on the base of the ladder when a firefighter of a certain mass is a certain distance from the bottom. The second part asks for the coefficient of static friction between the ladder and ground when the ladder is on the verge of slipping at a certain distance from the bottom. The conversation suggests drawing a free body diagram and calculating the forces at the top and bottom of the ladder.
mits08
hello all, I'm studying from my midterm and having some trouble figuring out the question below..thanks for the help

A uniform ladder of length L and mass m1 rests against a frictionless wall. the ladder makes an angle "theta" with the horizontal.

a) find horizontal and vertical forces the ground exerts on the base of the ladder when a firefighter of mass m2 is a distance x from the bottom.

b) if the ladder is just on the verge of slipping when the firefighter is a distance d from the bottom, what is the coefficient of static friction between ladder and ground?

where are you stuck at? You should draw a free body diagram first.

Perhaps your problem is thinking that this has anything to do with rotational motion! As Oerg suggested, draw a "free body diagram" and then calculate the horizontal and vertical components of force at the top and bottom of the ladder.

## 1. What is rotational motion force?

Rotational motion force, also known as torque, is the force that causes an object to rotate around a fixed point or axis. It is a vector quantity, meaning it has both magnitude and direction.

## 2. How is rotational motion force calculated?

Rotational motion force is calculated by multiplying the force applied to an object by the distance from the axis of rotation to the point where the force is applied. The formula is torque = force x distance.

## 3. What factors affect rotational motion force?

The factors that affect rotational motion force include the magnitude and direction of the applied force, the distance from the axis of rotation, and the mass and distribution of mass of the object.

## 4. What is the relationship between rotational motion force and angular acceleration?

The relationship between rotational motion force and angular acceleration is described by Newton's Second Law, which states that the net torque acting on an object is equal to the moment of inertia of the object multiplied by its angular acceleration. In simpler terms, the greater the torque, the greater the angular acceleration.

## 5. How is rotational motion force related to linear motion?

Rotational motion force is related to linear motion through the concept of moment of inertia, which is the resistance of an object to change in its rotational motion. Objects with larger moment of inertia will require more rotational motion force to achieve the same angular acceleration as objects with smaller moment of inertia.

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