The uniform slender bar of mass m and total length L is released from rest in the position shown. Determine the force supported by the small roller at A and the acceleration of roller A along the smooth guide, Evaluate your results for theta = 15 degree.

Q: Q# 5: Calculate the acceleration of the center of mass of the system as shown of the four 10 kg…

A: According to Newton's second law of motion the net force acting on a particle is equals to the rate…

Q: Q3: The 10 kg slender bar is attached to the small roller A, which glides freely along the groove.…

A: Find the angular acceleration of the bar and the acceleration of the roller immediately after it is…

Q: Corner point A of the uniform square plate, with a mass of 25 kg and a side length of  = 0.21 m, is…

A: Given: The mass of plate, m = 25 kg The side length of plate, l = 0.21 m The acceleration of plate,…

Q: The apparatus shown below was created by attaching a 12 kg sphere to end of a 4 kg uniform rod. If…

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Q: A2 Mg car has its mass with center at G. Calculate the acceleration of the car if p_k between the…

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Q: At the instant shown, the uniform slender rod with mass m = 40 kg is pin-supported at point O. It is…

A: Find the magnitude of support reaction at point O.

Q: The small collar A is sliding on the bent bar with constant speed u = 0.25 m/s relative to the bar…

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Q: A force of F = 13 N is applied to the 10-kg ring as shown. Slipping does not occur. Neglect the…

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Q: 4 in. - 16 in. P M. Lr=1 in.

A: Given:  Angular velocity of the motor is,  ωm=411-e-t rads. The radius of the motor is rm=1 in. The…

Q: Given: A uniform slender rod is at rest upon a frictionless horizontal surface when a force (F) is…

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Q: If the cord at B suddenly fails, determine a) The angular acceleration of the beam. b) The…

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Q: The 25-kg wheel is rolling under the constant moment of M = 73 N-m. The wheel has radius r= 0.52 m,…

A: find the angular acceleration.

Q: The shown 61 lb spool of radius R = 1.5 ft has a centroidal radius of gyration ko = 0.7 ft is…

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Q: (b) The cylinder is now displaced a distance y from the equilibrium position, such that ly < h, and…

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Q: The figure shows a spool and a vertical force of P = 250 N is applied to the cable. Determine the…

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Q: The 300 lb weight causes the compound disk shown in the figure to Roll and Slip on the horizontal…

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Q: The uniform rectangular slab is released from rest in the position shown. Determine the value of x…

A: Moment of inertia about G IG=112mb2+b22=548mb2Io=IG+mb216+x2=16mb2+mx2 Moment about O…

Q: If a disk rolls without slipping, compute for the acceleration a of its COG. Assume the fixed…

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Q: Q1: For the system shown Fig. 1, calculate the linear accelerations of the two bodies. Radius of…

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Q: At the instant shown, link CD rotates with an angular velocity of CD= 8 rad/s. If link CD is…

A: The tangential component of acceleration, aGt=αrG=α(4ft) The normal component of acceleration…

Q: 1) The shown spool has a mass of 100 kg and radius of gyration of 0.3 m. For P = 70 N and µ, =H =…

A: Given data: Mass of spool, m = 100 kg Radius of gyration, k = 0.3 m Force, P = 70 N Internal radius…

Q: at rest by pin at A and spring at B in which compressed at 40 mm. If 70 kg an amateur diver is…

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Q: The spool has a mass of 100 kg and a radius of gyration kc = 0.3 m. (Figure 1) Part A If the…

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Q: The spring-mounted 0.62-kg collar A oscillates along the horizontal rod, which is rotating at the…

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Q: The mass of gear A is 25 kg and its centroidal radius of gyration is 105 mm. The mass of gear B is…

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Q: A 30-kg disk with a radius of 0.7 m is pushed against a spring (k=900N/m). At the instant show where…

A: Given:- mass of disk,m=30 kg,radius of disk,r=.7 m,deformation in spring,x=.2 m,stiffness of…

Q: Q1: For the system shown Fig. 1, calculate the linear accelerations of the two bodies. Radius of…

A: Givenradius of gyration k=80mm

Q: The 10-kg wheel is rolling under the constant moment of M = 97 N-m. The wheel has radius r= 0.59 m,…

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Q: If the coefficients of static and kinetic friction at A are µ. = 0.2 and Hk = 0.15, respectively,…

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Q: The load L is lowered by the two pulleys which are fastened together and rotate as a single unit.…

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Q: At the instant shown, the spring is undeformed. Determine the change in potential energy if the 20…

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Q: Q8: The 25-kg bar BD is attached to the two light links AB and CD and moves in the vertical plane.…

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Q: The spool has a mass of 105 kg and a radius of gyration of kg = 200 mm about its center of mass G.…

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Q: 3/72 The small object is placed on the inner surface of the conical dish at the radius shown. If the…

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Q: The uniform slender bar of mass m and total length L is released from rest in the position shown.…

A: Free body Diagram

Q: The two pulleys shown may be operated with the V belt in any of three positions. If the angular…

A: Angular acceleration of shaft A is 6 rad/s2. Shaft B to reach a speed of 400 rpm.

Q: At the instant shown, the uniform slender rod with mass m = 35 kg is pin-supported at point O. It is…

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Q: Part A The smooth surface of the vertical cam is defined in part by the curve r = (0.2 cos 0+0.3) m.…

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Q: The 35 lb slender rod AB is 277 in. long and at rest in a horizontal position supported by a spring…

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Q: The 12-kg slender rod is pinned to a small roller that slides freely in the slot. If the rod is…

A: Given, The mass of the slender rod, m = 12 kg The angle from which rod is released, θ = 0⁰ The…

Q: The 100-kg thin circular disk rolls without slipping on the horizontal plane. Determine a) The…

A: As per given data Mass of circular disk =100kg Radius=0.3m P=300N We have to Determine a) The…

Q: The disk rolls without slipping on the horizontal surface. If the disk has a clockwise angular…

A: Draw the triangle formed by joining the points OAB.

Q: Q1. Two pulleys are fastened together to form an integral "composite pulley" (a single rigid body).…

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Q: Q# 5: Calculate the acceleration of the center of mass of the system as shown of the four 10 kg…

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Q: Q2. The uniform slender bar is released from rest in the horizontal position shown. The bar starts…

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Q: The spring-mounted 0.97-kg collar A oscillates along the horizontal rod, which is rotating at the…

A: Given Datam=0.97 kgθ˙=5.8 rad/sr˙=910mm/s=0.91m/sμk=0.68

Q: Attached to the rope of length R = 0.5m, the object with mass m = 1kg is rotated clockwise in a…

A: Given Data: The length of the rope is R=0.5 m. The mass of the object is m = 1 kg. The linear speed…

Q: Each of the bars A and B has a mass of 14 kg and slides in its horizontal guideway with negligible…

A: Forces on bars :

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.