Final answer:
To find the tension in the cable holding the cylinder on a slope, use the equation Tension = Mass * Acceleration due to gravity * sin(θ). To find the magnitude of the static friction force, use the equation Friction = coefficient of static friction * Normal force.
Step-by-step explanation:
When a cylinder is held at rest on a slope, there are two forces acting on it: the component of the gravitational force that acts parallel to the slope, and the static friction force that opposes the downhill motion of the cylinder. To find the tension in the cable, we need to balance these forces. The tension in the cable is equal to the component of the gravitational force parallel to the slope, which can be calculated using the equation Tension = Mass * Acceleration due to gravity * sin(θ). In this case, the mass of the cylinder is 11 kg and the slope angle is 20 degrees.
The magnitude of the static friction force can be found using the equation Friction = coefficient of static friction * Normal force. The normal force is equal to the gravitational force acting perpendicular to the slope, which can be calculated using the equation Normal force = Mass * Acceleration due to gravity * cos(θ). In this case, the mass of the cylinder is 11 kg and the slope angle is 20 degrees.