Three masses are placed along the x-axis: m1 = 3.2 kg is a distance x1 = 0.43 m to the left of the origin, m2 = 3.6 kg is a distance x2 = 0.31 m to the right of the origin, and m3 = 4.1 kg is a distance x3 = 0.47 m to the right of the origin. system of masses 1) What is the location of the center of mass of the system?

Asolid round steel rod 6.25 mm in diameter and 375 mm long is rigidly bonded to the end of solid square brass rod 25 mm on a side and 300 mm long. the geometric axes of the bare are along the same line. an axial tensile force of 5.4 kn is applied at the extreme ends of the assembly. for steel e = 200 gpa and for brass e = 90 gpa. determine the total elongation for the assembly.

Consider a uniformly charged ring in the xy plane, centered at the origin. the ring has radius a and positive charge qdistributed evenly along its circumference. a)what is the direction of the electric field at any point on the z axis? . b)what is the magnitude of the electric field along the positive z axis? use k in your answer, where k=14πϵ0. d)the ball will oscillate along the z axis between z=d and z=−d in simple harmonic motion. what will be the angular frequency ω of these oscillations? use the approximation d≪a to simplify your calculation; that is, assume that d2+a2≈a2. express your answer in terms of given charges, dimensions, and constants

What is offspring? why does a longer life span mean a higher chance of producing offspring?