A coin of mass m is left at the edge of a rotating disk, a distance r from the center. The disk is rotating at a constant angular rate . The coin does not slip and experiences a friction force with static friction coefficient us. Determine the maximum speed, v, that the coin can attain before slipping. Hint: The friction force is a constant μ,N and solely responsible for the rotational motion. The maximum speed occurs when this static friction force is just enough to sustain the centripetal force (mass times the centripetal acceleration). Values: g = 9.81 m/s², r =2 m, μs = 0.3. r Ω O

200lp box is at rest in the beginning on horizontal surface and force T=100lb and P applied shown. coefficient of static and kinetic friction is us= 0.3 and uk=0.2. find acceleration of block if p=100lb and p=250lb

I Review | Constants Calculate the work done on the block by the spring as the block falls an arbitrary distance z. Express your answer in terms of the variables a, m, x, and the acceleration due to gravity g, if needed. Consider a hanging spring of negligible mass that does not obey Hooke's law. When the spring is pulled downward by a distance r, the spring exerts an upward force of magnitude ar, where a is a positive constant. Initially the hanging spring is relaxed (not extended). We then attach a block of mass m to the spring and release the block. The block stretches the spring as it falls (Figure 1). (a) How fast is the block moving when it has fallen a distance z, ? (b) At what rate does the spring do work on the block at this point? (c) Find • View Available Hint(s) the maximum distance rz that the spring stretches. (d) Will the block remain at the point found in part (c)? W. Vspring = Submit Part D Calculate the work done on the block by any other forces as the block falls an…

A centrifugal clutch has four shoes, each of mass 0·35 kg. When at rest, the radialclearance between the shoes and the clutch drum is 15 mm and the radius to the centre ofgravity of the shoes is 225 mm. The shoes are held on retaining springs of stiffness 10kN/m and the internal diameter of the clutch drum is 600 mm. The coefficient of frictionbetween the drum and the shoes is 0·3.Determine:(a) The speed (in rev/min) at which the clutch starts to engage. For a rotational speed of 1200 rev/min:(b) The force each shoe exerts on the drum. (c) The torque transmitted. (d) The power transmitted.