A wheel-axle assembly is attached to a spring as shown in the figure below. The wheel-axel assembly has a mass of m=3 kg and a radius of gyration about the polar axis of kG=75mm. The spring has a stiffness of k=0.5 kN/m ( Note the units!). The system is released from rest with a spring extension of x1=0.2 m. Calculate the maximum angular velocity. Assume friction can be ignored. Provide your answers in rad/s.
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A wheel-axle assembly is attached to a spring as shown in the figure below. The wheel-axel assembly has a mass of m=3 kg and a radius of gyration about the polar axis of kG=75mm. The spring has a stiffness of k=0.5 kN/m ( Note the units!). The system i
. The 40-kg wheel has a radius of gyration about its center of gravity G of k_G = 250 mm. If it rolls without slipping, determine its angular velocity when it has rotated clockwise 90 degree from the position shown. The spring AB has a stiffness k = 100 N/m and an unstretched length of 500 mm. The wheel is released from rest.
2. An unknown mass is attached via string to the axle (radius 0.20 m) of wheel (radius 0.40 m). The wheel has moment of inertia 0.053 kg m2. When the system is released from rest, the mass accelerates downward at 0.10 m/s. a) What is the mass? b) How fast is the mass moving if it falls 1.0 m? Hint: use kinematics. c) What is the total kinetic energy of the system at that location? 3. Reconsider the previous scenario...
The 50-kg flywheel has a radius of gyration about its center of mass of ko= 250mm. It rotates with a constant angular velocity of 120rev/min before the brake is applied. If the coefficient of kinetic friction between the brake pad B and the wheel’s rim is ?k= 0.5, and a force of P = 300 N is applied to the braking mechanism’s handle, determine the time required to stop the wheel. 0.5 m 1 m 0.2 m 0.3 m
A block of mass m = 3.39 kg is attached to a spring (k = 28.7 N/m) by a rope that hangs over a pulley of mass M = 6.78 kg and radius R = 7.81 cm, as shown in the figure. a) Treating the pulley as a solid homogeneous disk, neglecting friction at the axle of the pulley, and assuming the system starts from rest with the spring at its natural length, find the speed of the block after...
The wheel has a mass of 7,074 kg and has a radius or gyration 0 T78 m The outside dius is 1 m and he inside adi is 046m What is the acceleration of the center of the wheel ifit เร released from rest and allowed to move freely down a θ-25 degree incline? The coe cent or state mo ko s μ. 3 and he c emc er t kinetic ict ms 2.58 m/s? O 32 msi 9.78 mis...
The wheel has a mass of 26 kg and a radius of gyration kB = 0.15 m. It is originally spinning atw1 = 36 rad/s。 Figure 1) Part A If it is placed on the ground, for which the coefficient of kinetic friction is c0.52, determine the time required for the motion to stop. Express your answer to three significant figures and include the appropriate units. igure 1 of 1 0.4 m t= 1 Value Units Submit Request Answer 0.3...
The wheel is made from a 4-kg thin ring and two 1-kg slender rods. (Figure 1) Figure < 1 of 1 0.5 m M Part A If the torsional spring attached to the wheel's center has a stiffness k =2 N.m/rad, and the wheel determine the maximum angular velocity of the wheel if it is released from rest. Express your answer to three significant figures and include the appropriate units. НА, ? rad @= 43.49 S Submit Previous Answers Request...
PROBLEM 4 The 30-Kg pendulum has its mass center at G and a radius of gyration about point G of - ,#300 mm . It is initially at rest in the horizontal position(6-0") , where the attached <M spring is unstretched. After applying a constant moment ofM " 10 N.m . determine angular 300 N 2nlositz ω" ? at the instant (-90° ) . Note that: -m ko,, where m is the mass or the pendulum PROBLEM 4 The 30-Kg...
2. In the mechanism shown, each of the two wheels has a mass of 30 kg and a centroidal radius of gyration of 100 mm. Each link OB has a mass of 10 kg and may be treated as a slender bar. The 7 - kg collar at B slides on the fixed vertical shaft with negligible friction. The spring has a stiffness k = 30 kN/m and is contacted by the bottom of the collar when the links reach...
M Review The spool has a mass of 110 kg and a radius of gyration of kg = 0.3 m. Part A If the coefficients of static and kinetic friction at A are pls = 0.2 and uk = 0.15, respectively, determine the angular acceleration of the spool if P = 51N. Solve this problem if the cord and force P=51N are directed vertically upwards. (Figure 1) Express your answer with the appropriate units. μΑ ? Figure 1 of 1...