Three 91.3 g masses are connected in a triangular shape by massless rigid wires as shown in the first image (which is not drawn to scale). The coordinates of each mass are given in centimeters. Mass A is located at (0,0), mass B is at (11.2, 19.5), and mass C is at (21.3, 15.4). Find the x- and y-coordinates of the center of mass of the triangular object. B Xcm = C A x cm Ycm = cm

Three 91.3 g masses are connected in a triangular shape by massless rigid wires as shown in the first image (which is not drawn to scale). The coordinates of each mass are given in centimeters. Mass A is located at (0,0), mass B is at (11.2, 19.5), and mass C is at (21.3, 15.4). Find the x- and y-coordinates of the center of mass of the triangular object. B Xcm = C A x cm Ycm = cm

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 87AP: Show that (BC)A is the volume of the parallelepiped, with edges formed by the three vectors in the...

See similar textbooks

Similar questions

Three 92.4 g masses are connected in a triangular shape by massless rigid wires as shown in the first image (which is not drawn to scale). The coordinates of each mass are given in B centimeters. Mass A is located at (0, 0), mass B is at (14.2, 22.5), and mass C is at (16.3, 15.4). Find the x- and y-coordinates of the center of mass of the triangular object. C Xcm = cm Yem = cm
Three 87.0 g masses are connected in a triangular shape by massless rigid wires as shown in the first image (which is not drawn to scale). The coordinates of each mass are given in centimeters. Mass A is located at (0, 0), mass B is at (11.2, 20.5), and mass C is at (17.3, 14.4). Find the x- and y-coordinates of the center of mass of the triangular object. Xcm = cm A Ycm = B C X cm
The four masses shown in the diagram are connected by massless, rigid rods. The mass of the A particle is 400 g, the mass of the B particle is 650 g, the mass of the C particle is 700 g, and the mass of the D particle is 550 g. The length of the rods is 40 cm. Consider the A particle to be the origin of the coordinate system. The x coordinate of the center of mass (in cm) is ...
Question 9: A half uniform annulus of inner and outer radii R1 and R2 has a non- uniform surface mass density given by o = oor where oo is a positive constant and r is the radial distance from the origin (radial coordinate in the cylindrical coordinates) as shown in Figure 6. Find i) the mass of the half annulus, and ii) the position of the center of mass, i.e., (xem, Yem) the center of mass in terms of R1 and R2. R2 M Figure 6
Question 9: A half uniform annulus of inner and outer radii R1 and R2 has a non- uniform surface mass density given by o = 0or where oo is a positive constant and r is the radial distance from the origin (radial coordinate in the cylindrical coordinates) as shown in Figure 6. Find i) the mass of the half annulus, and ii) the position of the center of mass, i.e., (xem, Yem) the center of mass in terms of Rị and R2. R2 M X Figure 6
The measure of the linear density at a point of a rod varies directly as the third power of the measure of the distanceof the point from one end. The length of the rod is 4 ft. and the linear density is 2 slugs/ft at the center. Find the centerof mass of the rod.
The disk A is at the midpoint of the sloped surface in Fig. 1. The string from A to B exerts a 0.2-lb force F on the disk. Calculate the vector components normal to the sloped surface
At southern latitude 1 (refer to Figure 1), under the influence of Corlolz force, a projectile of mass m is launch vertically upward (along z direction) with initial speed vo from a point on Earth's surface. Find the positions of the projectile when it strikes the ground, in terms of m, Vo, g, h, properly define constants and coordinates. Note: neglect air resistance, and consider only small vertical heights, h. Figure 1.
Find the centre of mass of the 2D shape bounded by the lines y = +1.5x between x = 0 to 1.5. Assume the density is uniform with the value: 3.1kg.m-2. -3 Also find the centre of mass of the 3D volume created by rotating the same lines about the x-axis. The density is uniform with the value: 2.9kg. m (Give all your answers rounded to 3 significant figures.) a) Enter the mass (kg) of the 2D plate: Enter the Moment (kg.m) of the 2D plate about the y-axis: Enter the x-coordinate (m) of the centre of mass of the 2D plate: b) Enter the mass (kg) of the 3D body: Enter the Moment (kg.m) of the 3D body about the y-axis: Enter the x-coordinate (m) of the centre of mass of the 3D body:
This quesfion will require you to sketch out a thing. (Or at least I highly recommend you do it to help you see things correctly.) Rindercella (Cinderella's lesser known sister) has kindly asked some birds to deliver a package (of mass M) to Prince Rupert. The birds grab and lift strings attached to it and try to lift it upward with all their little might (total force F) at an angle of theta above the x-axis. But, alas. The package is too heavy. While they are lifting the package, Rindercella attempts to slide it across the ground exasperated at the "useless birdies." If the coefficient of friction against the floor is "u," derive for me the equation for the strength of friction's resistance as the package is being slid. f (Mg - Fsine) %D f µMg %3D f= u(Mg + Fsin@) f = (Mg - Fcose) «
Find the centre of mass of the 2D shape bounded by the lines y :±0.5x between x : 0 to 2.1. Assume the density is uniform with the value: 1.5kg. m -2 Also find the centre of mass of the 3D volume created by rotating the same lines about the x- axis. The density is uniform with the value: 2.7kg. m-³. (Give all your answers rounded to 3 significant figures.) a) Enter the mass (kg) of the 2D plate: Enter the Moment (kg.m) of the 2D plate about the y-axis: Enter the x-coordinate (m) of the centre of mass of the 2D plate: b) Enter the mass (kg) of the 3D body: Enter the Moment (kg.m) of the 3D body about the y-axis: Enter the x-coordinate (m) of the centre of mass of the 3D body:
= Two masses, 0.600kg and 0.300kg, begin uniform motion at the same speed, 0.800m/s, from the origin at t 0 and travel in the directions shown in Figure Problem 18.1. (a) Find the velocity of the center of mass in unit-vector notation. (b) Find the magnitude and direction of the velcoty of the center of mass. (e) Write the position vector of the center of mass as a function of time. 0.600 kg 45.0⁰ 45.0 0.500 kg. Figure Problem 18.1: