**Physics Problem: Block Moving on a Surface****Problem Statement**A block with mass \( m = 19.5 \) kg is pulled with a force \( F = 280 \) N at an angle \( \theta = 25° \).**Questions**a) Draw a free-body diagram.b) Find the normal force.c) If the coefficient of friction between the crate and the surface is \( \mu_k = 0.12 \), what is the value of the frictional force, \( f_k \)?d) Find the acceleration.e) What minimum horizontal force is needed to move the block with a constant speed (while keeping \( F = 280 \) N)?**Free-Body Diagram Explanation**The diagram included shows a block on a horizontal surface. The block has mass \( m \) and a force \( F \) is applied at an angle \( \theta \) above the horizontal. The components of the force \( F \) are split into horizontal and vertical components relative to the block:- \( F \cos(\theta) \) acting horizontally- \( F \sin(\theta) \) acting vertically upwardsAdditionally, there are two other forces acting on the block:- Gravitational force \( mg \) acting downwards- Normal force \( N \) acting perpendicular to the surface and upwards**Equations and Calculations**1. **Normal Force (b):** \[ N = mg - F \sin(\theta) \] 2. **Frictional Force (c):** \[ f_k = \mu_k \cdot N \] 3. **Acceleration (d):** \[ \text{Net force} = F \cos(\theta) - f_k \] \[ a = \frac{\text{Net force}}{m} \] 4. **Minimum Horizontal Force for Constant Speed (e):** For constant speed, Net force \( = 0 \): \[ F \cos(\theta) = f_k \]

F=280 N m=19.5 kg θ=25 degrees

A block with mass (m = 19.5 kg) is pulled with a force (F = 280 N) 0 = 25°. a) Draw a free-body diagram. ) Find the normal force. c) If coefficient of friction between the crate and the surface is uk=0.12, what is the value of the frictional force,fr. d) Find the acceleration. e) What minimum horizontal force is needed to move the block with a constant speed (while keeping the F = 280 N)? F

A block with mass (m = 19.5 kg) is pulled with a force (F = 280 N) 0 = 25°. a) Draw a free-body diagram. ) Find the normal force. c) If coefficient of friction between the crate and the surface is uk=0.12, what is the value of the frictional force,fr. d) Find the acceleration. e) What minimum horizontal force is needed to move the block with a constant speed (while keeping the F = 280 N)? F

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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