17-78. The 100-kg pendulum has a center of mass at G and a radius of gyration about G of kG horizontal and vertical components of reaction on the beam by the pin A and the normal reaction of the roller B at the instant 0 = 0° when the pendulum is rotating at o = 4 rad/s. Neglect the weight of the beam and the support. 250 mm. Determine the %3D 0.75 m 1 m A B 0.6 m 0.6 m

17-78. The 100-kg pendulum has a center of mass at G and a radius of gyration about G of kG horizontal and vertical components of reaction on the beam by the pin A and the normal reaction of the roller B at the instant 0 = 0° when the pendulum is rotating at o = 4 rad/s. Neglect the weight of the beam and the support. 250 mm. Determine the %3D 0.75 m 1 m A B 0.6 m 0.6 m

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter10: Virtual Work And Potential Energy

Section: Chapter Questions

Problem 10.50P

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The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration kG=0.4 m. The spring’s unstretched length is L0=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is θ=30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is θ=0°. The spring’s length at the state 2 is L2=4 m. Ignore the spring's mass. (1) If the datum for gravitational potential energy is set as shown below, the the gravitational potential energy of the wheel at the state 1 is 0 N m(two decimal places) (2) If the datum for gravitional potential energ is set as shown below, the gravitational potential energy of the wheel at the state 2 is 0 N m (two decimal places) (3) At state 1, how long the spring is stretched from its unstretched state (length difference):________(m) (two decimal places) (4) The…
The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration kG=0.4 m. The spring’s unstretched length is L0=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is θ=30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is θ=0°. The spring’s length at the state 2 is L2=4 m. (7) The instantaneous center of zero velocity (IC) is A. Point A B. Point O C. Point G
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