14] A 2 kg block is released from rest at point A and slides down an incline and into a ¾ cylinder of radius R = 3m, the cross section of which is shown below. Assume no friction between the %3D block and the incline and the block and the cylinder. H = 2.5 R R *y 07] a) Confirm the block's speed at point B to be 7.75 m/s. 07] b) By first drawing an FBD for the block at point B. find the force the cylinder exerts on the block at this point. Use [g| = 10 m/s? %3D
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- Q3:al Four forces are shown in the figure below at particular locations and orientations with respect to a given xy-coordinate system. (1) Find the work due to each force on the origin. (2) Find the torque due to each force about the origin. y (m) M³2 = M33= 1½1⁄2 311 53 30 N -4.0 20 N 60° -2.0 0 -2.0- 20 NA 40 -2.0 -4.0+ 20 40 N A 4,0x (m)3 Geodynamo The mass of the earth is M = 6.0 x 1024 kg and its radius is R = 6.4 x 10° m. (a) Estimate the rotational kinetic energy of the earth, in joules (J). (b) The world's annual power consumption is about 20 TWh. If the earth's rotational kinetic energy could be converted to electrical power, how long could it supply energy to the human race, assuming our power consumption remained constant? Report your answer in seconds and in years.The spool has a mass of 90 kg and a radius of gyration ka = 0.3 m. (Figure 1) Part A If the coefficients of static and kinetic friction at A are us = 0.2 and u = 0.15, respectively, determine the angular acceleration of the spool if P = 620 N Express your answer to three significant figures and include the appropriate units. HÀ rad a = 12.60 s- Submit Previous Answers Request Answer Figure G 250 mm 400 mm A
- hw 28 question 1 part b'A non-uniform beam is located along the x axis from x = 0 to x = L. It has a linear mass density ==(1-). 3m where m is the total mass of the beam. L2 This view is actually from below, 2L sorry for any confusion. View from View from side above а. The beam is rotating clockwise, as viewed from above, about the y-axis. The beam's angular speed is decreasing with time. Draw the direction of the following vectors for a point at the middle of the beam on the "view from above" diagram: v, å, ả, ở, and å. If any vectors are the zero vector, clearly indicate that. Be sure to label your vectors. Clarification: use the diagram of the beam is on the x-axis to calculate the center of mass and moment of inertia. b. Find the moment of inertia of the beam about the y axis in terms of m and/or L. You must use calculus and show your work to earn any credit. Find the center of mass m of the beam in terms of m and/or L. You must use calculus and show С. ст your work to earn any credit.2)4
- A ezto.mheducation.com/ext/map/index.html?_con3con&external_browser%3D0&launchUrl=https%253A%252F%252Fnewconnect.mheducation.com%252F.. 18 i Saved Help Save 5 How much work is done by the motor in a CD player to make a CD spin, starting from rest? The CD has a diameter of 12.0 cm and a mass of 15.8 g. The laser scans at a constant tangential velocity of 1.20 m/s. Assume that the music is first detected at a radius of 20.0 mm from the center of the disk. Ignore the small circular hole at the CD's center. Вook Hint Int ences < Prey 5 of 21Problem 4 An amusement park ride consists of a large vertical cylinder that spins about its axis fast enough that any person inside is held up against the wall even when the floor is removed. The coefficient of static friction between the person and the wall is us = 0.3 and the radius of the drum is R = 2m. (a) Find wmin, the minimum angular speed at which the drum should rotate such that the person is held up even if the floor is removed. (hint: when the floor is removed, the person is held up by the static frictional force). (b) Find the linear speed of the person when the drum is rotating at the minimum angular speed you found in (a) (cC) Suppose that the drum started from rest and reached the speed you found in (a) in 120 seconds. During this time the drum had constant angular acceleration. Find the number of rotations made by the person within this time.A horizontal 810-N merry-go-round of radius 1.60 m is started from rest by a constant horizontal force of 55 N applied tangentially to the merry-go-round. Find the kinetic energy of the merry-go-round after 2.0 s. (Assume it is a solid cylinder. Also assume the force is applied at the outside edge.) ____J