4. The roller is 50 lb. If P = 30 lb, determine; a) the angular acceleration b) the coefficient of friction. Assume the roller to be a uniform cylinder and that no slipping occurs. P 30° 1.5 ft

While the system shown is in equilibrium, a counter-clockwise torque T = To sin (wt) N-m (with To =298.7 and w =4.5) is applied to the disk. What is the disk angular speed wm = ở in rad/s at timet = 3.7 sec? T k rope viscous friction b I =0.14 kg.m2, b =6.4 N-m-s/r, k =1,237 N/m, r =0.32 m.

P.1) The uniform cylinder of mass m = 100 kg and radius r = 0.5 m is released from rest on a sloped surface. The coefficient of friction between the cylinder and the sloped surface is µ. a. Determine whether the cylinder slips on the surface if µ = 0.1. b. Find the cylinder's angular and linear acceleration if u = 0.3. 30°

The 0.2 kg pin (P) is constrained to move in the smooth slot, defined by r= (0.6 cos 26) m. The slotted arm OA has a constant angular velocity of – 3 rad/s. Motion is in the vertical plane. a) Draw both the FBD and the KD diagram of the pin at e=0°. b) What is a, and ae of the pin when e=0°? c) What is the force of arm OA on the pin P when e=0°? r = (0.6 cos 20) m P. A

The slider P can be moved inward by means of the string S as the bar OA rotates about the pivot 0. The angular position of the bar is given by 0 = 0.4 +0.12t+ 0.06t³, where 0 is in radians and t is in seconds. The position of the slider is given by r = 0.8 0.1t 0.05t2, where r is in meters and t is in seconds. Determine and sketch the velocity and acceleration of the slider at time t = 2 s. Find the angles a and ß which v and a make with the posi- tive x-axis. S 0 Problem 2/144 رفع جك

1. Block A has a weight of 350 lb, and is attached to the cylinder/hub arrangement B as shown. The pulleys have no friction and negligible inertia. If the cylinder weights 340 lb (l = 30 ft-lb-s), use the dynamic equilibrium method to determine: %3D (a) acceleration of the center of mass of cylinder/hub; (b) minimum coefficient of friction at the surface. Dia. 2 ft B. Dia, 5 ft

8. The 20 kg uniform disk of radius r= 0.4 m is at rest on the incline (0 = 20°) when a constant force T= 200 N is applied as shown pulling the cord that is securely wrapped around the rim of the disk. If the coefficients of friction on the incline are u, = 0.3 and u, = 0.2, determine the friction force between the disk and the incline, the angular acceleration of the disk, and the acceleration at the mass center G. F (magnitude and direction) - T a (magnitude and direction) =. ac (magnitude and direction) = G

A spring of stiffness k = 500 N/m is mounted against the 10-kg block. If the block is subjected to the force of F = 500 N, The kinetic coefficient friction is 0.5. F = 500 N S 5 3 k = 500 N/m www 4 The velocity of block is ...........when stretched of spring (s) is 0.5 m. O 2.8 m/sec O4.8 m/sec O 1.8 m/sec O 3.8 m/sec

The 16-kg wheel is rolling under the constant moment of M = 60 N-m. The wheel has radius r= 0.50 m, has mass center at point G, and the radius of gyration is kg = 0.23 m. The coefficients of friction between the wheel and the ground is ls = 0.28 and Uk = 0.14. If the wheel rolls without slipping, determine the angular acceleration of the wheel (in rad/s?). Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s?. M

A 15-kg uniform disk is placed in contact with the ground and a constant couple moment M = 32 N.m is applied to it as shown. The weight of link AB is negligible. If the coefficient of kinetic friction at D is 0.3, find the angular acceleration of the disk. write the answer in rad/s? but do not write the units. R = 0.25 m A Taylor Answer: