Use equation for center of mass of a system of particles to find
the required solution as shown below***********************************************************************************************
This concludes the answers. If there is any mistake or
omission, let me know immediately and I will fix
it....
Two bowing b are at rest on top of a uniform wooden plank with the centers...
Two bowling balls are at rest on top of a uniform wooden plank with their centers of mass located as in the figure below. The plank has a mass of 4,50 kg and is 1.00 m long. Find the horirontal distance in m) from the left end of the plank to the center of mass of the plank bowling balls system. HINT - 0.770 m 10.320 m, 24.05 kg UAB 6.00 kg 4. 50 kg
A uniform plank of mass 5.00 kg and length 3.60 m is supported by vertical ropes at its ends as in the figure below. A 60.0-kg painter is located 0.500 m to the left of the center and an 8.00 kg bucket is 1.00 m to the right of the center. Find the tensions ?1 and ?2 in the ropes.
A seesaw consisting of a uniform board of mass and length supports at rest a father and daughter with masses my and respectively, as shown in the figure. The support (called the futrum) is under the center of gravity of the board, the father is a distance from the center, and the daughter is a distance from the center A balanced system ME (a) Determine the magnitude of the upward forcen exerted by the support on the board SOLUTION Conceptualize...
Question 3 In the figure, two identical, uniform, and frictionless spheres, each of mass 5.4 kg, rest in a rigid rectangular container. A line connecting their centers is at 45° to the horizontal. Find the magnitudes of the forces on the spheres from (a) the bottom of the container, (b) the left side of the container, (c) the right side of the container, and (d) each another. (Hint: The force of one sphere on the other is directed along the...
A solid uniform cylinder of mass M and radius R is at rest in the center on a flat slab of mass m and thickness d, which in turn rests on a horizontal, frictionless table, as shown in the figure at right below. A horizontal force of magnitude F is applied to the slab, acting through the center of the slab, causing it to accelerate to the right. The cylinder rolls without slipping on the slab. (The direction of F...
blem 1. A 8.0 m long, non-uniform beam weighing 750 N, supported by two weightless cables, is at rest in horizontal position, as shown. The cable on the right has a tension of Tj-375\3 N. (a) The location of the center of mass of the beam measured from its left end is (b) The tension T2 in the other cable is 60 T2 30 т, fiction). The
A string is wound around a uniform disk of radius R and mass M. The disk is released from rest with the string vertical and its top end tied to a fixed bar. See the figure below. (Submit a file with a maximum size of 1 MB.) (a) Show that the tension in the string is one third of the weight of the disk. (b) Show that the magnitude of the acceleration of the center of mass is 2g/3. (c) Show that the...
Bridging Problem: Oscillating and Rolling Two uniform, solid cylinders of radius R and total mass M are connected along their common axis by a short, light rod and rest on a horizontal tabletop (Figure 1). A frictionless ring at the rod's center is attached to a spring of force constant k, the spring's other end is fixed. The cylinders are pulled to the left a distance I, stretching the spring, then released from rest. Due to friction between the tabletop...
A rocket in outer space has a payload of 5055.6 kg and 1.542 . 105 kg of fuel. The rocket can expel propellant at a speed of 5.580 km/s. Assume that the rocket starts from rest, accelerates to its final velocity, and then begins its trip. How long will it take the rocket to travel a distance of 3.82. 103 km (approximately the distance between Earth and Moon)? Question A fire hose 4.54 cm in diameter is capable of spraying...
1. A steady, uniform magnetic field of magnitude B, exists in the horizontal, shaded region. This field is directed downward, as indicated. A rectangular loop of rigid, conductive wire, of length L, width W mass m, and resistance R, is initially at rest on a horizontal, frictionless surface, with its east end located at the edge of the field, as shown couninate natn north L easr side 1 X X X X W X X side 2 X X d...