You construct a mobile out of four objects, a sphere, a pyramid, an ellipsoid, and a cube. The mobile is in equilibrium in the configuration shown below, where the vertical dashed lines are 20 cm apart. The mass of the strings (in blue) and rods (in red) can be neglected. the pyramid has a mass of 320 g, what is the mass of each of the other objects? See if you can do this problem without a calculator.

USE GRESA METHOD FOR THE SOLUTION 3. A 1.50 x 103 kg car, whose front is facing to the right (towards +x-axis) and whose engine is turned off and in neutral, is held at rest on a frictionless ramp using a cable whose one end is attached to the car's front at an angle 27.0° with respect to the ramp's surface. The other end of the cable is attached to a wall perpendicular to the horizontal and the ramp is raised 30.0° above the horizontal. (Note: A free-body diagram (FBD) is required in this problem) (a) Find the force exerted by the ramp on the car's wheels. (b) Find the tension on the cable. (c) Suppose the wall where the other end of the cable was attached was replaced by a rotating motor. If the car is now accelerating towards the peak of the ramp at 3.00 m/s2 due to the rotating motor, how much tension is being exerted by the cable on the car?

A bag of cement weighing 525 N hangs in equilibrium from three wires as suggested in the figure below. Two of the wires make angles ?1 = 61.0° and ?2 = 42.0° with the horizontal. Assuming the system is in equilibrium, find the tensions T1, T2, and T3 in the wires. T1 = N T2 = N T3 =.

in Monkey and hunter case . my doctor want me to write a 5 lines about what I have learned from this screenshot. ( The simulation shows the classic physics situation of a monkey and hunter. In this case, the hunter is trying to tranquilize the monkey, so the monkey can be relocated to a better habitat. The monkey is clever—when the tranquilizer dart (in blue) leaves the gun, the monkey (in purple) lets go of the tree branch, and starts to fall straight down. Note that there is a net (not shown) at the bottom to catch the monkey, so the monkey won't get hurt.)

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The cables shown hold the 500 kg mass in equilibrium. Find FBD, Cartesian form of all force vectors, and write out equilibrium equations to solve for unknown tensions in cables.

A narrow uniform rod has length 2a. The linear mass density of the rod is p. so the mass m of a length of the rod is pl. Part A A point mass is located a perpendicular distance from the center of the rod. Calculate the magnitude of the force that the rod exerts on the point mass. (Hint: Let the rod be along the y-axis with the center of the rod at the origin, and divide the rod into infinitesimal segments that have length dy and that are located at coordinate y. The mass of the segment is dm = pdy. Write expressions for the I- and y-components of the force on the point mass, and integrate from a toa to find the components of the total force). Express your answer in terms of the gravitational constant G and some or all of the variables m, p, a, and r. IVE ΑΣΦ ? a xa Xb √x xx x b IXI F= Submit Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remaining The correct answer does not depend on: la Part B n(n+1)2 + n(n−1)(n−2) 1+nz+ T³ +... (|1| < 1).) What does your result…

You hang a light in front of your house using an elaborate system to keep the 12-kg object in static equilibrium (Figure 1). What are the magnitudes of the forces that the ropes must exert on the knot connecting the three ropes if θ2 = 63∘ and θ3 = 45∘?