Objects 1 and 2 have masses M1 and M2, respectively, where M1
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Objects 1 and 2 have masses M1 and M2, respectively, where M1<M2. The objects are in outer space far away from any other objects, as shown above. Point PP is located halfway between their centers. At what location, if any, is the gravitational field due to the two objects equal to zero?
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- Look at the image given. it is of two charged styrofoam balls when they are a distance of r from each other. The middle of ball1 is at (x1, y1) and the middle of ball 2 is at (x2, y2). The hanging balls are experiencing 3 forces (weight (mg), tension (F+), and repulsive electrostatic force (F.)). the vector sum of the forces should be zero as the balls are in static equilibrium. Ball 1 Pencil Origin ·x Fr mg Ball 2 it is your job to show that the magnitude of the electric force on each ball is given by the following expression: Fe = Were you assume: in-¹ (²/²7) = sin mgtan 0 cos a + sin a tan 0 a = sin 32 – 31 1 (9-³) T T • = √(x2 − x₁)² + (y2 − y₁)² Be sure to have detailed derivation steps and supportive diagrams while answering this question *write your answer in pencil or pen clearly, please. The typed answers become messed up.Object A, whose center is at (2.0m, 2.0m) has a mass of 40 kg. Object B has its center at (10m, 4.0m) and has a mass of 30 kg. What are the components of their center of mass in m?Part 1: Three forces lying on the xy-plane are applied on a rock stuck on the ground (situated at the origin) denoted by Ä, B, and Č. Determine the fourth force vector D using vector analysis that will make the rock in cquilibrium at the origin. y B (80N) Ã (100N) 30 45°, C (40N)
- Two identical spheres of radius 8 in. and weighing 2 lb on the surface of the earth are placed in contact. Find the gravitational attraction between them.Forces acting in multiple planes and meeting at one point are called coplanar and concurrent. Select one: O True O False4. Find the resultant of the concurrent force system shown. 4000 lb 30° 5000 lb 2000 lb 30° 1000 lb 3000 lb
- The traffic light shown below is supported by a system of cables. Points A and B are in a vertical plane which is parallel to the x-z plane. Point C is in the y-z plane. B A h Z O X The traffic light has a mass of 75 kg The distances are: a = 4 m, b = 6 m, c = 9m, h - 6 m To answer the next set of questions you will determine the following: a. Position vectors for OA, OB, OC b. Unit vectors for OA, OB, OC c. Overall equilibrium equation d. Equilibrium equations in each of the x, y and z directions e. The tensions in the cables OA, OB and OC h 3 The traffic light shown below is supported by a system of cables. Points A and B are in a vertical plane which is parallel to the x-z plane. Point C is in the y-z plane. B h Z X The traffic light has a mass of 75 kg The distances are: a = 4 m, b = 6 m, c = 9m, h=6m Determine the position vector for OA. The position vector roA can be written in the form: TOA TOAzi+Toaj + roa:k You will have to input each of these three components separately…The traffic light shown below is supported by a system of cables. Points A and B are in a vertical plane which is parallel to the x-z plane. Point C is in the y-z plane. B h Z X The traffic light has a mass of 75 kg The distances are: a = 4 m, b = 6 m, c = 9 m, h = 6 m To answer the next set of questions you will determine the following: a. Position vectors for OA, OB, OC b. Unit vectors for OA, OB, OC c. Overall equilibrium equation d. Equilibrium equations in each of the x,y and z directions e. The tensions in the cables OA, OB and OC The traffic light has a mass of 75 kg. The distances are: a = 4m, b = 6 m, c = 9m, h = 6 m. Determine the position vector for OB. The position vector FOB can be written in the form: TOB = TOB₂i+TOB] + Tobak You will have to input each of these three components separately below. Given: • • • The x component of the position vector, TOA = 4 m. They component of the position vector,TOA = -9 m. is the z component of the position vector,TOA = 6 m. 1. What is…The traffic light shown below is supported by a system of cables. Points A and B are in a vertical plane which is parallel to the x-z plane. Point C is in the y-z plane. B Z X The traffic light has a mass of 75 kg The distances are: a = 4m, b = 6 m, c = 9 m, h = 6 m To answer the next set of questions you will determine the following: a. Position vectors for OA, OB, OC b. Unit vectors for OA, OB, OC c. Overall equilibrium equation d. Equilibrium equations in each of the x, y and z directions e. The tensions in the cables OA, OB and OC The traffic light has a mass of 75 kg. The distances are: a = 4 m, b = 6 m, c = 9 m, h = 6 m. Determine the position vector for OA. The position vector FOA can be written in the form: TOA = TOAzi+TOAİ+TOA-k You will have to input each of these three components separately below. Given: • The x component of the position vector,IOA = 4 m. • They component of the position vector,TOA = -9 m. 1. What is the z component of the position vector,TOA? Please report…
- Determine and locate the resultant of the system shown in fig (3). If you know that the values of Ax=240 N. Ay=2000 N. F=160 N, N=2400N, W=400 N and M=2N.m*'For the shape below, the Resultant of three forces (2OON, F1 and F2) is 600N: the force F2 is: *5. Consider the flat object bounded by the curves y = 4x and y = Vx +b where (b=2). The area density of the M object is o = yx where the relationship between the total mass M and y is = 0.0309. Find the y-coordinate of the center of mass of this object (do not find the x coordinate of the center of mass). 1 y em Ym = vdm M