PROBLEM2: The system shown in Figure 2 has a natural frequency of 5 Hz for the following data: m = 10 kg, Jo = 5 kg - m², r₁ = 10 cm, r₂ = 25 cm. When the system is disturbed by giving it an initial displacement, the amplitude of free vibration is reduced by 80 percent in 10 cycles. Determine the values of k and c. C ¹/2 F m 0000 k Pulley, mass moment of inertia Jo Figure 2
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- Calculate the moment (Mo, MB, and Mc) of the 550-lb force about the points O, B, and C. Moment Mo 1. 1359 2. 1429 3. 1103 4. 1255 Moment MB 1. 0. 2. 100.0 3. 145.0 4. 250.0 Moment Mc 1. 357.0 2. 265.0 3. 0. 4. 206.0 X 10'-0" B F = 550 lb A 40° 5'-0" X1) Choose the three "bridge" equations between translational quantities and rotational quantities from the list below. A. Δx = RΔθ B. vt = Rat C. at = Rα D. at = R/α E. ω = Rθ F. vt = Rω 2) Match the following angular velocity A.I, kg·m2 angular displacement B.Δθ angular acceleration C.½Iω2 moment of inertia D.α tangential velocity E.ΣΤ = Iα tangential acceleration F.Iω = mvR centripetal acceleration G.Rω arc length H.w rotational kinetic energy I.RΔθ angular momentum J.Rω2 Newton's 2nd Law of Rotation K.Rα 3) For a body to be in static equilibrium, what two equations must be solved together? A. mechanical energy = 0 and net force = 0 B. net torque = 0 and net work = 0 C. net force = 0 and net torque = 0 D. net work = 0 and net force = 0 4)From Newton's Law of Gravitation, the quantity…2. The member is subjected to a force of F = 6 kN. If 0 = 30 degrees, determine the moment produced by F about point A. 1.5 m F=6 kN 6m
- The spool has a mass of 90 kg and a radius of gyration kc = 0.3 m (Figure 1) Part A If the coefficients of static and kinetic friction at A are us = 0.2 and u = 0.15, respectively, determine the angular acceleration of the spool if P = 620 N. Express your answer to three significant figures and include the appropriate units. HA ? a = Value Units Submit Request Answer Figure Provide Feedback Next > P G. 250 mm 400 mmA bicycle racer is going downhill at 14.0 m/s when to his horror, one of his 2.07 kg wheels comes off when he is 73.0 m above the foot of the hill We can model the wheel as a thin-walled cylinder 850 cm in diameter and neglect the small mass of the spokes Part A How fast is the wheel moving when it reaches the foot of the hill if it roled without slipping all the way down? Submit Part B VAL Request Answer A + How much total kinetic energy does the wheel have when it reaches the bottom of the hill? K-1101290.25 Submit Previous Answers Request Answer ? X Incorrect; Try Again m/s 3In the figure, bar AB has a mass of 50 kg, and is supported at rest by cords AC and BD. If we cut cord AC, determine: a. The tension in cord BD b. The angular acceleration of the bar
- %3D A 3.7-kg sphere is suspended by a cord that passes over a 1.7-kg pulley of radius 3.4 cm. The cord is attached to a spring whose force constant is k = 86 N/m as in the figure below. Assume the pulley is a solid disk. www- (a) If the sphere is released from rest with the spring unstfetched, what distance does the sphere fall through before stopping? 0.3079 Your response differs from the correct answer by more than 10%. Double check your calculations. m (b) Find the speed of the sphere after it has fallen 25 cm. 1.67 m/sA disc has a constant angular acceleration of 2 rads 2. At t=0 s, the tangential velocity is 4 m s¹. The diameter of the disc is 15 cm. Compute the a) initial angular speed of the disc b) angular speed and angular displacement of the disc at t = 8 s c) angular displacement in revolution in 8 s d) time taken for the disc to complete one rotationItem 11 The pulley in (Eigure 1) has radius 0.160 m and moment of inertia 0.380 kg. m². The rope does not slip on the pulley rim. Figure 4.00 kg 5.00 m 2.00 kg 1 of 1 Part A Use energy methods to calculate the speed of the 4.00 kg block just before it strikes the floor. Express your answer with the appropriate units. V= Submit μA Value Request Answer < Return to Assignment Units SWIN Provide Feedback ? 11 of 11 Review | Constants
- Problem An electric motor provides a constant torque of 12 N.m on a pivoting flywheel which has an inertia around the shaft of 3 kg.m2 and a friction constant of 3 kg.m2 / s. Motor it starts with silence. Zero tolerance is expressed in 2% to face value. 1. Calculate the total work done by the torque from rest until equilibrium is reached angular velocity! 2. Calculate kinetic energy when angular velocity equilibrium is reached! 3. Calculate the average power given by the motor from idle until it is reached equilibrium!3. For the shift lever shown, the direction of a is equal to 15º. Determine the magnitude of the force P which has a 21 N.m clockwise moment about B. N counterclockwise / clockwise คําตอบ: P =.... B P 0.2 m- m→ 0.55 m