Question

Read each question carefully. Show all your work for each part of the question. The parts within the question may not have equal weight. A block of mass m is placed on an inclined plane that makes an angle with the horizontal, as shown in the figure. The coefficients of static and kinetic friction between the block and the surface are , and , respectively. Express your answers in parts (b) and (c) in terms of m, 0, us, My, and physical constants, as appropriate.

Answer 1

Ms and ils are static and kinetic friction coffiecients respectively where mg is 1 block gravitational force on blocks is at sest mg i N block es normal force on due to incline is friction force I f on block. where N= mg caso and t = Msn = Mg mg uso N =Mq0p mg sine is responsible to to slide block. value of my sine increase when o increase and friction try to stop 9 Simo sliding of block.

so, maximum value of o, when friction reach to maxium value. I static frietion). So, mg sino = as my case (for o max ) g yang = us (3) tan? (Ms) = 8 max ) this is the required Benbrush og Now given By Omax so, Now block is sliding. so, Applying Newton's force equation Fnet Ima so, mgsimo - Mis mg cosa = ma n this is acceleration la.= g (sino- Mis case) along the incline. m960 0 owisku of block

d) incline is set at an angle o i Now, we increse o (slowly) force of friction will increase until the block begins to slide. because king static friction is equal to masino So, as we increase o, ma sine increases and so static friction increases Ms macaso Static friction ngiore mgsino (1) When block slide along the incline then kinetic . friction works on the block, whose value remains constant. So, force of friction remain the same when the block slide down the incline.