Question

Rules Please show all the work you have done and list all the assumptions For every problem, complete the following steps - select the coordinate system, setup the necessary equations, solve the system of equations PROBLEM 1 V.-30ft/s A K=10 lbf/ 0.7 A block that has a weight of 20 lbf is released down a 15 degree slope with a coefficient of friction y = 0.7 at an initial velocity of 30 ft/s The spring has an unstretched length of 15 feet QUESTIONS 1. [10 points] After the block is released, what is the block's speed when it goes down 20 feet reaching point B just before touching the spring? 2. [10 points] What is the power being removed from the block at point B just before touching the spring? 3. [10 points) What distance d does the block compress the spring before stopping? 4. [10 points) Determine how far the block returns up the ramp before stopping 6. [10 points] Determine the total energy loss to friction since the block is released to the moment it returns

Answer 1

mass of the block. m= 20 = 0.625 lb. FBD of the block. 32 THImgsing AN mg cose.fi UN. plant. ou 150 a= decelaration (assume). - N= normal force. now, buy force balance along perpendicular to the .. N= mg cose. E luy force balance along the plane. mg sino-ing coso = ma. on, (sini5 – 0.7 X COS 15)ex 32 = a. on, as - 0.477. i ftis? E [ove sign implies direction is opposite.]. - now applying va u + 2ds. we get. La Von = 304+ 2X 0.417X 20. Or, Vg = 30276 ftis