The slender rod shown in Fig. 17-17a has a mass m and length / and is released from rest when 0 = 0°. Determine the horizontal and vertical components of force which the pin at A exerts on the rod at the instant 0 = 90°.
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- The uniform 99-lb log is supported by the two cables and used as a battering ram. If the log is released from rest in the position shown, calculate the initial tension induced in each cable immediately after release and the corresponding angular acceleration a of the cables. Assume a = 3.9 ft, b = 2.9 ft, c = 1.3 ft, e = 61°. a a C Answers: TA = i 21.6 Ib TB = i 64.9 Ib a = 4.00 rad/sec?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:The slender rod shown in Fig 1 has a mass m and length L and is released from rest when θ =0°. Determine the horizontal and vertical components of force which the pin at A exerts on therod at the instant θ = 90°. Use normal and tangent coordinates, assume weight in center of rod, from kinematics, we found ω2 = 3g/L
- The shown body is composed of a disk with mass 10 kg and a slender bar with mass 5kg which is released from rest form the 4m Im horizontal condition (it is released when 0 = 0). calculate the angular velocity and angular acceleration and the forces at the hinge point (Point O) when 0 = 60 deg. Length of bar is 4m and the radius of disk is Im.Your answer is partially correct. The figure shows the cross section of a uniform 174-lb ventilator door hinged about its upper horizontal edge at O. The door is controlled by the spring-loaded cable which passes over the small pulley at A. The spring has a stiffness of 12.7 lb per foot of stretch and is undeformed when = 0. If the door is released from rest in the horizontal position, determine the maximum angular velocity reached by the door and the corresponding angle 0. Answer: Wmax = www 4.2' 0.636 rad/sec at 0 = 58.49 OThe 186-kg wheel has a radius of gyration about its center O of ko = 300 mm, and radius r = 0.4 m. When the wheel is subjected to the constant couple moment M = 92 N.m, it starts rolling from rest. Determine the average friction force that the ground applies to the wheel if it has been rolling without slipping. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper Sl unit. Take g = 9.81 m/s². M Your Answer: units Answer
- The 136-kg spool has a radius of gyration about its mass center of kg = 300 mm. If the couple moment is applied to the spool and the coefficient of kinetic friction between the spool and the ground is u: = 0.2, determine the angular acceleration of the spool, the acceleration of G and the tension in the cable. (Figure 1) Part B Determine the acceleration of G. Express your answer to three significant figures and include the appropriate units. HA ac = Value Units Submit Request Answer Part C Figure Determine the tension in the cable. Express your answer to three significant figures and include the appropriate units. 0.4 m В HA 0.6 m T = Value Units M = 450 N-m Submit Request AnswerThe 136-kg spool has a radius of gyration about its mass center of kg = 300 mm. If the couple moment is applied to the spool and the coefficient of kinetic friction between the spool and the ground is u = 0.2, determine the angular acceleration of the spool, the acceleration of G and the tension in the cable. (Figure 1) Part A Determine the angular acceleration of the spool. Express your answer to three significant figures and include the appropriate units. HA a = Value Units Submit Request Answer Part B Figure < 1 of 1 Determine the acceleration of G. Express your answer to three significant figures and include the appropriate units. 0.4 m В HÀ ? 0.6 m Value Units aG = M = 450 N-m Submit Request AnswerThe pendulum has a mass of 8.8 kg, a centre of gravity at G, and a radius of gyration of 0.31 m about the fixed pin support at O. At what position (in degrees) must the pendulum by released from rest so that its angular acceleration is 18.6 (clockwise) at that instant? Take = 0.25 m. The motion occurs in a vertical plane and friction is negligible. Choose the correct answer. 43.2 36.7 34.6 48.4 41.1
- The figure shows the cross section of a uniform 239-lb ventilator door hinged about its upper horizontal edge at O. The door is controlled by the spring-loaded cable which passes over the small pulley at A. The spring has a stiffness of 16.6 lb per foot of stretch and is undeformed when 8-0. If the door is released from rest in the horizontal position, determine the maximum angular velocity reached by the door and the corresponding angle 0. Answer: @max 4.2¹ rad/sec at 8-iThe shown body is composed of a disk with mass 10 kg and a slender bar with mass 5kg which is released from rest form the 4m 1m G horizontal condition (it is released when = 0). calculate the angular velocity and angular acceleration and the forces at the hinge point (Point O) when 0 = 60 deg. Length of bar is 4m and the radius of disk is 1m.The 214-kg wheel has a radius of gyration about its center O of ko = 260 mm, and radius r = 0.4 m. When the wheel is subjected to the constant couple moment M = 94 N•m, it starts rolling from rest. Determine the average friction force that the ground applies to the wheel if it has been rolling without slipping. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper Sl unit. Take g = 9.81 m/s². M Your Answer: Answer units