Two wheels A and B with weights w and 7w, respectively, are connected by a uniform rod with weight. as shown below. The wheels are free to roll on the sloped surfaces. Determine the angle (in degrees) that the rod forms with the horizontal when the system is in equilibrium. Hint: There are five forces acting on the rod, which is two weights of the wheels, two normal reaction forces at points where the wheels make contacts with the wedge, and the weight of the rod. (Enter the smallest angle.) 15.175 B X° 30° 60° A
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- A block with mass m = 5.00 kg slides down a surface inclined 36.9° to the horizontal (Figure 1). The coefficient of kinetic friction is 0.27. A string attached to the block is wrapped around a flywheel on a fixed axis at O. The flywheel has mass 11.1 kg and moment of inertia 0.500 kg - m? with respect to the axis of rotation. The string pulls without slipping at a perpendicular distance of 0.300 m from that axis. Part A What is the acceleration of the block down the plane? Express your answer in meters per second squared. ? a = 1.45 m/s? Figure 1 of 1 Part B What is the tension in the string? Express your answer in newtons. 5.00 kg ? T = 11.6 N 36.9 國You push on a rectangular door at the location of the knob (see diagram for top view). The door s mass is 62.6 kg, and its side-to-side width is 2.28 m. The knob is located 0.14 m from the right-hand side of the door. If you push with a force of 180 N, what will the be the door s angular acceleration as it swings on its hinges? (Note: the moment of inertia of the door of mass M and width x, swinging on its hinges, is (1/3) M x^2.) 5.68 rad/s^2 0.85 rad/s^2 3.55 rad/s^2 1.42 rad/s^2In part b) the moment which is in red color why doesn't equal -T( AP + Radius ) since they are perpendicular. Why did he use the components of T
- The drawing below shows two forces acting on a rigid beam. The blue dot is the center of mass of the beam. The forces (red arrows) are equal in magnitude. Consider the net force on the beam and net torque about its center. Which of the following statements are true? Check ALL that apply. The net force is zero. The net force is not zero. The net torque is zero. O The net torque is not zero.You push on a rectangular door at the location of the knob (see diagram for top view). The door s mass is 71.9 kg, and its side-to-side width is 2.19 m. The knob is located 0.19 m from the right-hand side of the door. If you push with a force of 198 N, what will the be the door s angular acceleration as it swings on its hinges? (Note: the moment of inertia of the door of mass M and width x, swinging on its hinges, is (1/3) M x^2.) 3.45 rad/s^2 2.42 rad/s^2 5.18 rad/s^2 1.94 rad/s^2Hand written and clean answer
- You push on a rectangular door at the location of the knob (see diagram for top view). The door s mass is 78.8 kg, and its side-to-side width is 2.47 m. The knob is located 0.19 m from the right-hand side of the door. If you push with a force of 198 N, what will the be the door s angular acceleration as it swings on its hinges? (Note: the moment of inertia of the door of mass M and width x, swinging on its hinges, is (1/3) M x^2.) 3.95 rad/s^2 0.79 rad/s^2 2.82 rad/s^2 1.13 rad/s^2You push on a rectangular door at the location of the knob (see diagram for top view). The door s mass is 79.0 kg, and its side-to-side width is 1.91 m. The knob is located 0.11 m from the right-hand side of the door. If you push with a force of 101 N, what will the be the door s angular acceleration as it swings on its hinges? (Note: the moment of inertia of the door of mass M and width x, swinging on its hinges, is (1/3) M x^2.) 1.89 rad/s^2 1.13 rad/s^2 2.65 rad/s^2 0.79 rad/s^2You push on a rectangular door at the location of the knob (see diagram for top view). The door s mass is 73.5 kg, and its side-to-side width is 2.33 m. The knob is located 0.12 m from the right-hand side of the door. If you push with a force of 158 N, what will the be the door s angular acceleration as it swings on its hinges? (Note: the moment of inertia of the door of mass M and width x, swinging on its hinges, is (1/3) M x^2.) 2.63 rad/s^2 1.05 rad/s^2 3.68 rad/s^2 0.74 rad/s^2
- A uniform solid sphere of mass 6.0 kg and radius 10 cm is rolling without slipping along a horizontal surface with a speed of 4.9 m/s (this is the speed of the center of mass) when it starts up a ramp that makes an angle of 30° with the horizontal. 1st а) b) While the ball is moving up the ramp, find What is the maximum distance it can go up the ramp, measured along the surface of the ramp? 2nd? the acceleration (magnitude and direction) of its center of mass and i) ii) | 3rd 3] the friction force (magnitude and direction) acting on it due to the surface of the ramp. Moment of inertia of a solid sphere is I em =MR². стThe swimmer in the figure below propels himself forward by exerting a 138 N backward force on the water with his hand. He experiences a forward reaction force F of magnitude 138 N. Find the magnitude and direction of the torque exerted on the arm by F about an axis through point O. (Let d = 43.0 cm.) magnitudeAn athlete holds a 34.0 N pole in equilibrium by exerting an upward force U with her left hand and a downward force D with her right hand as shown. Point C is the center of gravity of the pole. (Let L₁ 2.25 m, 42 1.35 m, and L3 = = = 0.900 m. Due to the nature of this problem, do not use rounded intermediate values-including answers submitted in WebAssign-in your calculations.) L3 L2 B D g (a) What is the magnitude of U (in N)? N (b) What is the magnitude of D (in N)? N