Given information is attached in image. A. What is the minimum coeffecient of static friction μmin required between the ladder and the ground so that the ladder does not slip?Express μmin in terms of m1, m2, d, L, and θ.B. Suppose that the actual coefficent of friction is one and a half times as large as the value of μmin. That is, μs=(3/2)μmin. Under these circumstances, what is the magnitude of the force of friction f that the floor applies to the ladder?Express your answer in terms of m1, m2, d, L, g, and θ. Remember to pay attention to the relation of force and μs. **Text Explanation:**A uniform ladder with mass \( m_2 \) and length \( L \) rests against a smooth wall. A do-it-yourself enthusiast of mass \( m_1 \) stands on the ladder a distance \( d \) from the bottom (measured along the ladder). The ladder makes an angle \( \theta \) with the ground. There is no friction between the wall and the ladder, but there is a frictional force of magnitude \( f \) between the floor and the ladder. \( N_1 \) is the magnitude of the normal force exerted by the wall on the ladder, and \( N_2 \) is the magnitude of the normal force exerted by the ground on the ladder. Throughout the problem, consider counterclockwise torques to be positive. None of your answers should involve \(\pi\) (i.e., simplify your trig functions).**Diagram Explanation:**- The diagram shows a ladder leaning against a vertical wall.- The ladder is depicted at an angle \( \theta \) to the ground.- The ladder is labeled with its length \( L \) and its mass \( m_2 \).- A person, with mass \( m_1 \), stands on the ladder a distance \( d \) from the bottom.- The forces acting on the ladder include: - \( N_1 \), the normal force from the wall acting horizontally to the left. - \( N_2 \), the normal force from the ground acting vertically upwards. - \( f \), the frictional force acting horizontally to the right at the base.- The diagram emphasizes that the wall is smooth, implying no frictional force at that surface.

Concept used: Translational and rotational equilibrium is followed.

Given information is attached in image. A. What is the minimum coeffecient of static friction μmin required between the ladder and the ground so that the ladder does not slip? Express μmin in terms of m1, m2, d, L, and θ. B. Suppose that the actual coefficent of friction is one and a half times as large as the value of μmin. That is, μs=(3/2)μmin. Under these circumstances, what is the magnitude of the force of friction f that the floor applies to the ladder? Express your answer in terms of m1, m2, d, L, g, and θ. Remember to pay attention to the relation of force and μs.

Given information is attached in image. A. What is the minimum coeffecient of static friction μmin required between the ladder and the ground so that the ladder does not slip? Express μmin in terms of m1, m2, d, L, and θ. B. Suppose that the actual coefficent of friction is one and a half times as large as the value of μmin. That is, μs=(3/2)μmin. Under these circumstances, what is the magnitude of the force of friction f that the floor applies to the ladder? Express your answer in terms of m1, m2, d, L, g, and θ. Remember to pay attention to the relation of force and μs.

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