Concept explainers
Show that IGα may be eliminated by moving the
Want to see the full answer?
Check out a sample textbook solutionChapter 17 Solutions
Engineering Mechanics: Dynamics (14th Edition)
- Two balls with masses M and m are connected by a rigid rod of length L and negligible mass as shown. For an axis perpendicular to the rod, (a) show that the system has the minimum moment of inertia when the axis passes through the center of mass. (b) Show that this moment of inertia is I = μL2, where μ = mM/(m + M).arrow_forwardThe 24-kg uniform thin hollow square plate is pinned at point O, and its side L = 0.3 m. Determine its mass moment of inertia / (in kg•m²) about point O. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². M Your Answer: Answerarrow_forwardShow the complete solution.arrow_forward
- Assuming small displacements, write the equation of motion for the system shown below in terms of x₁, x₂, х1, х2, and 0. Assume that the lever has a mass moment of inertia about the pivot of Im. K₁ 000 M₁ K₂ 000 777 -fa(1) M₂arrow_forwardThe following masses m, are located at the given points P₁ : m₁ = 6, P₁(1, −2) m₂ = 5, P₂(3, 4) m3 = 1, P3(−3,−7) m₁ = 4, P₁(6,−1) Find the moments Mx, My, and the x and y-coordinates of the center of mass of the system. Mx My = = I- ▶ x-coordinate of the center of mass: x = y-coordinate of the center of mass: y = B ▶arrow_forwardCan anyone help me with this questionarrow_forward
- The rigid body (slab) has a mass m and rotates with an angular velocity es about an axis passing through the fixed point 0. Show that the momenta of all the particles composing the body can be represented by a single vector having a magnitude mvg and acting through point P, called the center of percussion, which lies at a distance TPIG - ka/rajo from the mass center G. Here kg is the radius of gyration of the body, computed about an axis perpendicular to the plane of motion and passing through G.arrow_forward3. The pendulum consists of a 5 kg plate and a 3 kg slender rod. Determine the radius of gyration of the pendulum about an axis perpendicular to the plane of movement and passing through point G (the mass center for the pendulum). 2 m + 0.5 m Garrow_forwardh y g(x) density p = 800 kg m³ Determine the cone's radius of gyration about the x-axis. 2h x An engineering student has modelled a truncated cone in CAD software by rotating the coloured area about the x-axis. The y-coordinate can be described by the equation g(x) = + 1 and the cup has constant 6 The cone has dimensions h = 1 m and l = 6 m. Xarrow_forward
- The homogeneous bars have a mass as follows: bar AC has a mass of 7 kg, bar ABhas a mass of 10 kg, and rod BD has a mass of 2 kg. In the drawn position, therod AC has an angular velocity of 4 rad/s and an angular acceleration of 2 rad/s2, both clockwise.Determine the magnitude of the moment M acting on the member AC. Give all the equations neededto solve this question without calculating itarrow_forwardFind the centre of mass of the object below. Let the lengths be: d1 = 160mm, d2 = 270 mm, d3= 200 mm, d4 = 210 mm, d5 = 300mm, d6 = 240mm.arrow_forwardIf the 15 kg bar has a center of mass at G, calculate the resulting moment at point O.arrow_forward
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L