Centroid of the quarter arc of uniform weight with radius R,
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Centroid of the quarter arc of uniform weight with radius R,
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- A force, IFI, of 20N is applied to a door with a width, [a], in cm at 75°, as shown in the given diagram. If the magnitude of the torque, [7], is 18 N-m, what is the width of the door, la to the nearest centimetre? F = 20 N 75° dA crane has an arm length of 20 m inclined at 30deg with the vertical. It carries a container of mass of 2 ton suspended from the top end of the arm. Find the torque produced by the gravitational force on the container about the point where the arm is fixed to the crane. Given: 1 ton = 1000 kg; neglect the weight of the arm. Hint: take the force and perpendicular distance from the point where the arm is fixed to the crane. Note: Express your answer in whole number. No unit is required for the final answer. Set your calculator in radians. ... mg -60° r cos 60 Round your answer to 0 decimal places. r sin 60Needs Complete typed solution with 100,% accuracy.
- A person of mass M stands on a bathroom scale inside a Ferris wheel compartment. The Ferris wheel has radius R and angular velocity w. What is the apparent weight of the person (a) at the top and (b) at the bottom? Please explain.A star of radius R = 2.3 * 108m rotates with an angular speed v = 2.4 * 10-6rad>s. Ifthis star collapses to a radius of 20.0 km, find its final angular speed. (Treat the star as if itwere a uniform sphere, and assume that no mass is lost as the star collapses.)Using air pressure, the 1.1-kg ball forced to move through the tube lying in the horizontal plane and having the shape of a logarithmic spiral as shown in (Figure 1). Figure < 1 of 1 r= 0.2e0.10 F=6N If the tangential force exerted on the ball due to air pressure is 6 N, determine the rate of increase in the ball's speed at the instant = π/2. Express your answer to three significant figures and include the appropriate units. at = Part B O μÁ Submit Request Answer 0 = Value Units What direction does the tangential force act in? Express your answer in degrees to three significant figures. ? VAΣo↓ vec ?
- What is the torque required to accelerate a rotating object if it starts rotating at 10 degrees per second and increases to 110 degrees per second in 5 seconds, it has a radius of 5m and a mass of 100kg?For case A of spin-the-bottle, calculate the magnitude of the torque. Assume that the applied force is 70.0 N and the size of the grid spacing is 3.20 cm. [Answer in units of Newton metres (Nm) with 3 sig figs but do not enter units with your answer]Please help to explain :Two solid cylinders, one of mass m and radius r, and the other of mass M >m and radius R>r, are rolled down a long inclined plane. Which arrives first?
- A rock is wedged in the tread of wheel of a car and is 0.114 meters away from the center the axis of rotation). Calculate the tangential speed (in meters/second) of the rock when the wheel is rotating at 6.53 revolutions/second. Express your answer without units and as a positive number with two decimals.A force of 290 N acts tangentially on the rim of a wheel whose radius is 25 cm. Find the torque that is being applied to the wheel.Consider a ball rolling around in a circular path on the inner surface of a cone. The weight of the ball is shown by the vector W. Without friction, only one other force acts on the ball-a normal force, (a) Draw in the vector for the normal force. (The length of the vector depends on the next step, b.) (b) Using the parallelogram rule, show that the resultant of the two vectors is along the radial direction of the ball's circular path. (Yes, the normal is appreciably larger than the weight!)