A carpenter's square has the shape of an L as shown in the figure below. Locate its center of gravity. (Take (x, y) = (0, 0) at the intersection of d₁ and d4. Assume d₁ = 19.0 cm, d₂ = 2.00 cm, d3 = 2.00 cm, and d4 = 15.0 cm.) BX You can consider the carpenter's square to consist of two rectangles positioned at 90 degrees to each other. How do you determine the center of mass of an object made up of extended objects?) cm d₂ d₁ ds Ⓡ Enter a number.

A square metal plate with mass M=6.00 [kg] and side length 3.00 [m] is pivoted about an axis through point O at its center and perpendicular to the plate. Three forces of magnitude F1=36.0 [N], F2=24.0 [N], and F3=40.0 [N] act on the plate as shown. A.  What is the net torque on the square plate due to these forces? Is the direction in or out of the paper? B.  What is the angular acceleration of the plate? The moment of inertia for a plate of length a and width b rotating about its center is Icom =(1/12) M(a2 + b2) Is the direction in or out of the paper? C.  If the plate is initially at rest, what is the angular velocity of the particle after 2.70 [s] Is the direction in or out of the paper?

You have a summer internship at NASA and are working on plans for a new space station to be launched into orbit around the Earth. The design of the space station is shown. i It is to be constructed in the shape of a hollow ring of mass 52,000 kg. The structures other than the ring shown in the figure have negligible mass compared to the ring. Members of the crew will walk on a deck formed by the inner surface of the outer cylindrical wall of the ring, with radius r = 140 m. The thickness of the ring is very small compared to the radius, so we can model the ring as a hoop. At rest when constructed, the ring is to be set rotating about its axis so that the people standing inside on this deck experience an effective free-fall acceleration equal to g. The rotation is achieved by firing two small rockets attached tangentially to opposite points on the rim of the ring. Your supervisor asks you to determine the following: (a) the time interval during which the rockets must be fired if each…

Part A Calculate the net torque about point O for the two forces applied as in the figure (Figure 1). The rod and both forces are in the plane of the page. Take positive torques to be counterciockwise. ■响 AL中 1 ? 28 -K T = N.m Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Provide Feedback Next > Figure <- 1 of 1 F2 = 12.0 N F = 8.00 N 30.0° 不2.00 m*ー3.00 m 业 MacBook Air 80 000 000 II DD F3 F4 F5 F6 F7 F8 F9 F10 F11 F12 24 & %23

The spool has a mass of 70 kg and a radius of gyration of KG 0.3 m. (Figure 1) Show Transcribed Text α = = 250 mm Show Transcribed Text HA Templates Value If the coefficients of static and kinetic friction at A are μs = 0.2 and μ = 0.15, respectively, determine the angular acceleration of the spool if P = 60 N. Express your answer to three significant figures and include the appropriate units. A Units 400 mm ? P

PM4: please answer question and explain each step with reasoning

Please add the solution to the problem. Q10.2

How do you find part C? The answer is 54 degree

A. Three identical coins, labeled A, B, and C in the figure, lie on three corners of a square 10.0 cm on a side. Determine the x coordinate of each coin, xA, xB, and xC B. Determine the y coordinate of each coin described in Part A: yA, yB, and yC. C. Determine the x and y coordinates xcg and ycg of the center of gravity of the three coins described in Part A.

A solid disk with an axis of rotation through the center (perpendicular to the diagram). Two holes are cut out near the center and the material is placed near the rim. Which has the larger I? Please explain your conclusion.