(b) Belt drive system using a flat belt with a cross-section of 500 mm² and density of the flat belt is 1300 kg/m³. The angle of lap is 165° on the smaller wheel. The coefficient of friction is 0.35 and the maximum force allowed in the belt is 600 N. When the belt runs at 10 m/s, calculate: (i) centrifugal force exerted in the belt drive system, (ii) power transmitted, (iii) initial tension in the belt. (iv) if flat in belt is replaced with V belt with 30° groove angle, calculate the power transmitted by the V belt.

Consider the centrifugal clutch above that comprises of four ‘shoes’ symmetrically attached to the ‘spider’.  Each shoe with its friction lining has a mass of 275 grams and is attached by means of a linear mechanical spring with a stiffness value of 7.5 kN/m.  The coefficient of friction of the material attached to the shoes is 0.35.  The centre of mass of each of the shoes is at a radius of 95 mm from the shaft centres in the rest position shown above and has a clearance distance of 9 mm to the outer drum.  The outer drum has a wall thickness of 4 mm.   Question 1 a. Determine the engagement speed of the centrifugal clutch.  You should provide your answer in RPM (revolutions per minute) and rounded to the nearest whole value of RPM.  b. Calculate the radial force acting on the clutch face when the driving shaft is rotating at a speed of 550 RPM.  c. At the driving shaft speed of 550 RPM, what will be the value of torque transmitted to the driven shaft?    Please note the equartions…

4) This Atwood's machine includes two blocks connected by a cable, going over a pulley without slipping. Block 1 (30.0 kg) is connected to a spring (70.0 N/m), and slides on a horizontal surface with a coefficient of kinetic friction of 0.0100. Block 2 is 50.0 kg, and hangs vertically from the cable. The pulley is a disk with a radius of 0.500 m, and its moment of inertia about the center of mass is 10. 0 kg-m“. a) Draw the three free body diagrams, and write out Newton's 2nd Law for each. b) Derive the equation of motion (inhomogeneous 2nd order ODE) for this system. c) Use u-substitution to rewrite this as a homogeneous 2nd order ODE. d) Assume the position x as a function of time t is of the form x(t) = A cos (wt + p) I disk for undamped natural frequency w, phase angle P, and amplitude A. The initial conditions are: x(0) v(0) = -3. 00 m/s. Solve for the position of the mass as a function of time (you need to solve for w, 4, and A). = 2. 00 m and Mz

An inclined plane at an angle of 15o is used to lift a 250 kg sofa through a vertical height of 5 meters.  If the coefficient of kinetic friction is 0.12, what is the Mechanical Advantage, Ideal Mechanical Advantage, and efficiency of the plane?