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  • Calc 3 Moments and centers of mass - Physics Forums
    Investigate the properties of isosceles triangles in relation to mass distribution Students studying calculus, particularly those focusing on applications of double integrals and center of mass calculations in physics and engineering contexts
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    This discussion focuses on solving problems related to hydrostatic force and the center of mass in calculus The first problem involves finding the centroid of a region bounded by the curves y=2x^3 and x+y=3, where the user initially used incorrect boundaries and integration limits
  • Help with Center of Mass (Calc II problem) • Physics Forums
    Homework Statement Find the centroid (center of mass) of the region in the first quadrant bounded by y=x, y=3x, x=n (>0) Homework Equations The Attempt at a Solution No idea how to start the question, since I have to get the area of the region but the graph does not intersect
  • How Do You Calculate the Center of Mass for a Non-Uniform Object?
    The original poster seeks a formula for calculating the center of mass and is particularly interested in the application to a solar car shell Some participants discuss the use of calculus and integration for complex shapes, while others inquire about software options for numerical calculations
  • Center of Gravity Calc: $\bar {y}$ - Physics Forums
    Students and professionals in physics, engineering, and mathematics who are involved in mechanics and structural analysis, particularly those focusing on center of mass and gravity calculations
  • Hydrostatic force, half circle - Physics Forums
    The problem involves calculating the hydrostatic force on a bottom half-circle with a diameter of 6 m, where the top of the half-circle is positioned 1 m above the water level The discussion centers around understanding the setup and the integration process required to find the hydrostatic force Exploratory, Assumption checking, Mathematical reasoning Participants discuss the correct
  • Finding the mass and center of mass of a wire using a line integral.
    This discussion focuses on calculating the mass and center of mass of a wire shaped as a helix defined by the parametric equations x=t, y=cos (t), z=sin (t) for 0 ≤ t ≤ 2π, with a density equal to the square of the distance from the origin The mass is computed using the line integral m = ∫C ρ (x,y,z) ds, where ρ = x² + y² + z² simplifies to ρ = t² + 1 The center of mass
  • Calculating Hydrostatic Force of a Submerged Semicircle
    Hydrostatic pressure on triangular plate Mar 6, 2010 Replies 5 Views 12K Hydrostatic Force and Center of a Mass - Calc 2 Oct 10, 2010 Replies 2 Views 4K Find the total hydrostatic force on the face of a semi-circular dam
  • Solid hemisphere center of mass in spherical coordinates
    The discussion revolves around finding the center of mass of a solid hemisphere with constant density using spherical coordinates Participants are examining the setup and calculations involved in the center of mass formula Exploratory, Mathematical reasoning, Assumption checking The original poster attempts to compute the center of mass using an integral approach but encounters unexpected
  • What makes a door move, the torque or the force or both?
    I have seen an example of a horizontal beam on a hinge Beam of length L acted on my gravity MG at center, where the hinge supplies 1 4MG force to the door Therefore there is a net torque, causing angular acceleration and a net force, causing translation about the center of mass Maybe it is





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