F18-2. The uniform 50-lb slender rod is subjected to a couple moment of M = 100 lb - ft. If the rod is at rest when e = 0°, determine its angular velocity when 0 = 90°. M=100 lb-ft ft
Q: F19-1. The 60-kg wheel has a radius of gyration about its center O of ko = 300 mm. If it is…
A: Given Data: The mass of the wheel is m = 60 kg. The radius of gyration of the wheel is ko = 300 mm.…
Q: 18-3. The wheel is made from a 5-kg thin ring and two 2-kg slender rods. If the torsional spring…
A: Moment of inertia of the thin ring about the center O is written as, Moment of inertia of the…
Q: 17-39. The bar has a weight per length w and is supported by the smooth collar. If it is released…
A: Given Data: The weight per unit length of the bar is: w The angle made by the supporting bar with…
Q: F19-2. The 300-kg wheel has a radius of gyration about its mass center O of ko = 400 mm. If the…
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Q: Q6: The automobile has a mass of 2 Mg and center of mass at G. Determine the towing force F required…
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Q: 17-70. The 100-lb uniform rod is at rest in a vertical position when the cord attached to it at B is…
A: The angular acceleration of the rod can be calculated using the formula given below as- T=Iα where,…
Q: 17-31. A car having a weight of 4000 lb begins to skid and turn with the brakes applied to all four…
A: Given data: The weight of the car is, W=4000 lb The coefficient of kinetic friction is, μk=0.8 The…
Q: F19-2. The 300-kg wheel has a radius of gyration about its mass center O of ko = 400 mm. If the…
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Q: 17-59 The uniform slender rod has a mass m. If it is released from rest when = 0, determine the…
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Q: Q3: The tire has a weight of 30 lb and a radius of gyration kg = 0.6 ft. If the coefficients of…
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Q: 17-105. If the coefficient of static friction between the 50-lb roller and the ground is u, = 0.25,…
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Q: 17-67. If the cord at B suddenly fails, determine the horizontal and vertical components of the…
A: The mass of the cord is m=120 kg. The length of the cord is L=4 m. The force acted on one side of…
Q: Q6: The automobile has a mass of 2 Mg and center of mass at G. Determine the towing force F required…
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Q: F19-3. If rod OA of negligible mass is subjected to the couple moment M = 9N-m, determine the…
A: Given data: *The couple moment subjected on the rod OA is M=9 Nm. *The mass of the inner gear is…
Q: 17-111. The semicircular disk having a mass of 10 kg is rotating at w = 4 rad/s at the instant 0 =…
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Q: F17-17. The 200-kg spool has a radius of gyration about its mass center of kg = 300 mm. If the…
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Q: F18-6. The 20-kg wheel has a radius of gyration about its center G of kg = 300 mm. When it is…
A: This problem belongs to the Kinetics of rigid bodies, and we will solve this problem using…
Q: F18-9. The 60-kg rod OA is released from rest when e = 0°. Determine its angular velocity when e =…
A: given is mass of rod (m) = 60 kg length of rod (L) = 3 m spring constant (k) = 150 N/m Now, the…
Q: *17-108. The semicircular disk having a mass of 10 kg is rotating at w = 4 rad/s at the instant e =…
A: Draw the free body diagram of the disc: Calculate moment of inertia about the center of gravity:…
Q: 17-118. The 500-lb beam is supported at A and B when it is subjected to a force of 1000 lb as shown.…
A: Sketch the FBD for the above problem.
Q: 18-43. A uniform ladder having a weight of 30 lb is released from rest when it is in the vertical…
A: Given data
Q: R17-7. The spool and wire wrapped around its core have a mass of 20 kg and a centroidal radius of…
A: The normal reaction force at point B is written as, On using Newton’s second law in a horizontal…
Q: 17-55. The 100-kg uniform crate C rests on the elevator floor where the coefficient of static…
A: Write the given data: m = 100 kgμs = 0.4r = 1.5 mW = mgW = (100 kg) (9.81 m/s2)W = 981 N
Q: 19-37. Disk A has a weight of 20 lb. An inextensible cable is attached to the 10-lb weight and…
A: Given: The weight of disc A , WA = 20 lb The attached weight to the disc by cable, W= 10 lb The…
Q: F18-11. The 30-kg rod is released from rest when 0 = 45°. Determine the angular velocity of the rod…
A: Given data: Mass of the rod, m = 60 kg Stiffness of the spring, k = 300 N/m Length of the rod, l =…
Q: If the system starts from rest and no slipping occurs and cylinder A weighs 450 N and has a radius…
A: Given: Initially system is at rest and There is no slipping between cylinder and surface. Thus…
Q: F19-5. The 50-kg spool is subjected to a horizontal force of P = 150 N. If the spool rolls without…
A: Given: The horizontal force is P=150 N. The inner radius is Ri=0.2 m The inner radius is Ro=0.3 m…
Q: If a horizontal force of P = 100 N is applied to the 300-kg reel of cable, determine its initial…
A: Horizontal force P=100 N Weight of reel of cable M=30 kgRadius of gyration ko=.6 m
Q: 18-58. The slender 6-kg bar AB is horizontal and at rest and the spring is unstretched. Determine…
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Q: The particle of mass m = 2.5 kg is attached to the light rigid rod of length L = 1.27 m, and the…
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Q: 17-75. The wheel has a mass of 25 kg and a radius of gyration kg = 0.15 m. It is originally spinning…
A: Find the moment of inertia of the wheel about the point B: I=mkB2I=25 kg0.15 m2I=0.5625 kg-m2 Draw…
Q: *17-32. A force of P = 300 N is applied to the 60-kg cart. Determine the reactions at both the…
A: Free-body diagram of the above diagram is given as, Now, use the force equilibrium in the vertical…
Q: 17-37. The 150-kg uniform crate rests on the 10-kg cart. Determine the maximum force P that can be…
A: Given data as per the question Mass of crate =150 kg Mass of cart =10 kg Calculations P=(m+M)aa=Pm+M…
Q: 18-2. The wheel is made from a 5-kg thin ring and two 2-kg slender rods. If the torsional spring…
A: Given data: Mass of the ring, mr = 5 kg. Mass of the slender rod, ms = 2 kg. The radius of the…
Q: F17-7. The 100-kg wheel has a radius of gyration about its center O of ko = 500 mm. If the wheel…
A: Given data: The mass of wheel is m = 100 kg. The radius gyration is ko = 500 mm. The time t = 3 s.…
Q: F17-8. The 50-kg disk is subjected to the couple moment of M = (91) N. m, where t is in seconds.…
A: Given: The couple moment is M=(9t) N-m. The mass of the disk is m=50 kg. The radius of the disc is…
Q: 0.5 m - P 1 m
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Q: 3. The uniform bar has a mass m and length /. If it is released from rest when 0 = = 0°, determine…
A: To Find : The angular velocity as a function of angle θ before it slips. Given : The uniform bar…
Q: *17-24. 6 ft- The door has a weight of 200 Ib and a center of gravity at G. Determine how far the…
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Q: F17-16. The 20-kg sphere rolls down the inclined plane without slipping. Determine the angular…
A: FBD radius=0.15 m ∵ equilibrium eqn → ΣF=m ax →mg…
Q: F17-14. The 100-kg cylinder rolls without slipping on the horizontal plane. Determine the…
A: Let ∝=angular acc . acm=acc about centre of mass
Q: 17-35. The sports car has a mass of 1.5 Mg and a center of mass at G. Determine the shortest time it…
A: Given: m=1500 kg; μs=0.2; v=80 km/h To find: Time taken to reach v for the rear wheel and all-wheel…
Q: 18-19 The 30 kg disk is originally at rest, and spring is unstretched. A couple moment M= 80 Nm is…
A: The mass of the disk, m = 30 kg The couple moment acting on disk, M = 80 Nm The spring stiffness, k…
Q: 18-22. If the 50-lb bucket, C, is released from rest, determine its velocity after it has fallen a…
A: The weight of the bucket is c=50 lb. The mass of windlass is 30 lb. The weight of each spoke is w=2…
Q: ation 5 The 20-kg wheel has a radius of gyration ko - 400 mm where O is the center of the wheel. If…
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Q: This is a dynamics problem. Answers: F = 5.96 lb, NB = 99 lb, NA =…
A: Given data as per question Weight of door = 200 lb
Q: F17-15. The 20-kg wheel has a radius of gyration about its center O of ko = 300 mm. When the wheel…
A: Given data as per the question Mass of wheel =20 kg The radius of gyration =300 mm Coefficient of…
Q: F18-3. The uniform 50-kg slender rod is at rest in the position shown when P = 600 N is applied.…
A: The moment of inertia of the shaft is I=ml23=50×523=416.67 kg·m2 The kinetic energy of the shaft at…
Q: 17-70. The 20-kg roll of paper has a radius of gyration kA = 90 mm about an axis passing through…
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Q: 17-110. The 15-lb disk rests on the 5-lb plate. A cord is wrapped around the periphery of the disk…
A: Make FBD for the given shapes
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- The 21-kg wheel has a radius of gyration about its center O of ko =260 mm, and radius r = 0.5 m. When the wheel is subjected to the constant force F = 247 N, applied to the wheel's center axle at an angle = 6°, it starts rolling from rest. Determine the wheel's angular velocity W (in rad/s) after 4.0 seconds if the wheel has been rolling without slipping. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. Take g = 9.81 m/s². Your Answer: G Answer r 0 FThe 213-kg wheel has a radius of gyration about its center O of ko = 240 mm, and radius r = 0.4 m. When the wheel is subjected to the constant couple moment M = 85 N·m, it starts rolling from rest. Determine the wheel's angular velocity W (in rad/s) after 4.4 seconds if the wheel 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. Take g = 9.81 m/s². M Your Answer: Answerf cion A force of P = 20 N is applied to the cable, which causes a 175 kg of radius of Gyration KG = 0.42m reel to turn without slipping on the 2 rollers A and B of each 18 kg and radius of 0.1m. P 30° 250 mm OG 500 mm AO OB -400 mm- Calculate the work done by the 20N for 2 revolutions. (J) Determine the angular velocity of the reel after it has rotated 2 revolutions starting from rest. (rad/s) Calculate the Kinetic energy of roller A after the reel rotated 2 revolutions starting from rest. (J) Choose... 7.952 1.88 32.2 3.14 1.98 16.34 20 3.66 62.831 Choose... Choose... Choose... 52 8:44 AM MM
- If a horizontal force of P = 100 N is applied to the 300-kg reel of cable, determine its initial angular acceleration. The reel rests on rollers at A and B and has a radius of gyration of ko = 0,6 m. 0.75 m Select one: O A. a = 0.588 rad/s2 O B. a = 0.694 rad/s2 OC. a = 0.789 rad/s a = 0.656 rad/s2The 50-kg wheel has a radius of gyration about its center of gravity G of kG = 300mm. If it rolls without slipping, determine its angular velocity when it has rotated clockwise 90° from the position shown. The spring AB has a stiffness k = 200 N/m and an unstretched length of 400 mm. The wheel is released from rest.The 20-kg wheel has a radius of gyration about its center O of ko = 300mm as shown in Fig.5. When the wheel is subjected to the couple moment, it slips as it rolls. Determine the angular acceleration of the wheel and the acceleration of the wheel's mass center O. The coefficient of kinetic friction between the wheel and the plane is ur = 0.5. 0.4 m M = 100 N-m
- The 30-kg wheel has a radius of gyration about its center O of ko = 240 mm, and radius r = 0.5 m. When the wheel is subjected to the constant force F = 388 N, applied to the wheel's center axle at an angle = 6°, it starts rolling from rest. Determine the total angular impulse L (in N•m.s) about the wheel's IC after 3.7 seconds if the wheel has been rolling without slipping. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. Take g = 9.81 m/s². Your Answer: G Answer Ө FThe 250-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 = 64 N.m, it starts rolling from rest. Determine the total angular impulse L (in N.m.s) about the wheel's IC after 7.3 seconds if the wheel has been rolling without slipping. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. Take g = 9.81 m/s². M Your Answer: AnswerThe 25-kg wheel is rolling under the constant moment of M = 73 N-m. The wheel has radius r= 0.52 m, has mass center at point G, and the radius of gyration is kG = %3D 0.21 m. The coefficients of friction between the wheel and the ground is ls = 0.26 and lk = 0.18. If the wheel rolls without slipping, determine the angular acceleration of the wheel (in rad/s²). 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/s². M G Your Answer: Answer
- Question 3 F19-1. The 60-kg wheel has a radius of gyration about its center O of ko = 300 mm. If it is subjected to a couple moment of M = (312) N. m. where t is in seconds, determine the angular velocity of the wheel when t = 4 s, starting from rest. M = (3r) N.m F19-1The 10 kg wheel has a radius of gyration about its center O of ko = 300 mm. When the wheel is subjected to the couple moment, it slips as it rolls. Determine the angular acceleration of the wheel and the acceleration of the wheel's center O. The coefficient of kinetic friction between the wheel and the plane is = 0.2. (Figure 1) Figure M 100 N m < 1 of 1 0.4 m Part A Determine the angular acceleration of the wheel. Express your answer to three significant figures and include the appropriate units. α = Submit ■ Part B ao = μÅ X Incorrect; Try Again Value Submit Previous Answers Request Answer Determine the acceleration of the wheel's center O. Express your answer to three significant figures and include the appropriate units. μA Units Value X Incorrect; Try Again Units ? Previous Answers Request Answer ? Units input for part BThe 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