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kimi70
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Homework Statement
a 700 g cylinder of base area a=30 cm^2 and height 40 cm is floating upright in water. A 50 g mass, resting on top of the cylinder is suddenly removed. find the restoring force.
Finding Restoring Force for Simple Harmonic Motion: 700g Cylinder in Water
- Thread starter kimi70
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In summary, simple harmonic motion is a type of back and forth movement around a fixed point, where the force is proportional to the displacement. The equation for simple harmonic motion is x = A sin(ωt + φ), and the period is represented by T = 2π/ω. Factors such as mass, spring stiffness, and amplitude affect the period. Simple harmonic motion differs from circular motion in its direction and the nature of the force acting on the object.
a 700 g cylinder of base area a=30 cm^2 and height 40 cm is floating upright in water. A 50 g mass, resting on top of the cylinder is suddenly removed. find the restoring force.
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tiny-tim
Science Advisor
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hi kimi70! 
show us what you've tried, and where you're stuck, and then we'll know how to help!
show us what you've tried, and where you're stuck, and then we'll know how to help!
1. What is simple harmonic motion?
Simple harmonic motion refers to the repetitive back and forth movement of an object around a fixed point, where the magnitude of the force acting on the object is directly proportional to the object's displacement from the fixed point. This type of motion is commonly seen in pendulums, springs, and other oscillating systems.
2. What is the equation for simple harmonic motion?
The equation for simple harmonic motion is x = A sin(ωt + φ), where x is the displacement of the object from its equilibrium position, A is the amplitude (maximum displacement), ω is the angular frequency (2πf), t is time, and φ is the phase angle.
3. What is the period of simple harmonic motion?
The period of simple harmonic motion is the time it takes for one complete cycle of the motion. It is represented by the symbol T and is calculated as T = 2π/ω, where ω is the angular frequency.
4. What factors affect the period of simple harmonic motion?
The period of simple harmonic motion is affected by the mass of the object, the stiffness of the spring or restoring force, and the amplitude of the motion. A larger mass or stiffer spring will result in a longer period, while a larger amplitude will result in a shorter period.
5. What is the difference between simple harmonic motion and circular motion?
Simple harmonic motion and circular motion are both types of periodic motion, but they differ in their direction of motion. In simple harmonic motion, the object moves back and forth along a straight line, while in circular motion, the object moves around a fixed point in a circular path. Additionally, the force in simple harmonic motion is directly proportional to the displacement, while the force in circular motion is always directed towards the center of the circle.
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