A spool of mass 60 kg is supported on two rollers at A and B as shown in Figure Q1(c). Neglect the mass of the inelastic cable, friction and the mass of the rollers at A and B. Knowing that a constant pulling force P is applied in order to unwind 6 m of cable in 3 s starting from rest. The radius of gyration for the spool is (600+a) mm, where a = 8. Appendix A shows the examples of identifying the radius of gyration using student ID.   Determine the pulling force P.

Q: A cable is wrapped around the spool's center hub. The mass of the spool is m= 100 kg, the radius r1…

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Q: PROBLEM 3 - In the system shown, a 150 N collar-pulley assembly slides on a horizontal shaft with…

A: Given: Weight of the collar→WB=150 N Weight of the block A→WA=106.54 N Coefficient of…

Q: Problem #5 The moment of inertia I of a cheap door of mass M=4.00 kg (about an axis going through…

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Q: Two wires AC and BC are attached to a 7 kg sphere that rotates at constant speed v in the horizontal…

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Q: A 1. A rigid bar, of length L and constant mass per unit length m = m/L, is pinned to a stationary…

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Q: A long cable of length L = 41 m and mass p = 0.173 kg/m is wrapped around the periphery of a spool…

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Q: 4. The 5-kg uniform slender rod ABC is pivoted at B in the vertical plane and supported by a spring…

A: Draw the FBD of the given question and find the length of the CD.

Q: A cable is wrapped around the spool's center hub. The mass of the spool is m= 100 kg, the radius r₁…

A: Givenm=100kgr1=0.4mr2=0.6mkG=0.3mP=10Nt=2s

Q: Boxes A and B are at rest on a conveyor belt that is initially at rest. The belt is suddenly started…

A: As per given question Mass of block  A=50kg Mass of block B=40kg Coefficients of friction A=0.3…

Q: A rigid rectangular frame is pushed along the ground to the right and stops because it hits a bump…

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Q: A cable connects the center of cylinder A (diameter = 0.8m) to the hub of cylinder B as shown below.…

A: FBD of AmA=38kgrA=0.4m

Q: The shipping crate shown weighs 13kg and is initially hooked to a stretched spring (stretched length…

A: Spring force =-kx where the x is the displacement of spring  force due to weight create opposing…

Q: The system shown below consists of a uniform disk D that has a mass of mp = 2.6 kg and a radius of r…

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Q: In the system shown, a 150 N collar-pulley assembly slides on a horizontal shaft with coefficient of…

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Q: A sphere of radius r and mass m has a linear velocity v0 directed to the left and no angular…

A: Given data: Radius of sphere = r Mass of sphere = m Linear velocity of sphere = v0 Coefficient of…

Q: A particle of mass m is at rest at the end of the spring (force constant k) hanging from a fixed…

A: Write the expression of applied force to the mass at time t. F1=Fcosωot Write the expression of…

Q: A block of mass m = 4.00 kg and a block of mass m2 = 6.00 kg are connected by a massless string over…

A: Given: Masses of the blocks are m1 = 4kg and m2 = 6 kg. Radius of the disk is 0.25 m. Mass of the…

Q: Figure 2 shows a 2000 kg lorry with a center of mass at G. Starting from rest, the lorry achieves a…

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Q: A 300-lb cylinder is released from rest and rolls down without slipping. A linear unstretched spring…

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Q: 0.30 m 1.50 m B A|— MA 0.60 m D A slender 3.06 kg rod can rotate in a vertical plane about a pivot…

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Q: A particle, of mass 2 kg, is attached to one end of a light inextensible string. The other end is…

A: Given Mass of Particle, m=2 kgRadius of horizontal circle, r=0.6 mString Angle with vertical, θ=30°

Q: Two blocks, of masses m1 and m2, are connected to each other and to a central post by cords. They…

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Q: Figure shows a system of cylinder (m = 50 kg) and a load (m = 30 kg) connected through a rope. The…

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Q: A spool of mass 60 kg is supported on two rollers at A and B as shown in Figure Q1(c). Neglect the…

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Q: Rod OA rotates counterclockwise at a constant angular rate -4 rad/s. The double collar B is…

A: INTRODUCTION: Momentum is a measure of an object's motion content and it is based on the product of…

Q: mass of each ball of governor is 7 kg and moves radially under the action controlling force E. If…

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Q: 8. A thin uniform rod AB of mass 3m and length 2a is free to rotate in a vertical plane about a…

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Q: A 20kg slender rod AB is pinned to a roller at A that slides freely along the slot as shown in the…

A: mass of the rod, m = 12 kg             couple moment of M = 5 N.m  acceleration of…

Q: A spool of mass 60 kg is supported on two rollers at A and B as shown in Figure Q1(c). Neglect the…

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Q: 4. A uniform disc of mass m = 3 kg and radius R=0.5 may roll without slip on the 30 degree incline…

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Q: The double pulley shown in the figure has a mass of 3 kg and a radius of 100 mm rotation. Knowing…

A: GivenThe massof teh pulley is 3kgThe radius of gyration is 100mmThe force is P=24 kN

Q: The device shown is a simplified model of an amusement-park ride in which passengers are rotated…

A: Given m=1.1kgr=70mm =0.07mLa=315mm =0.315mL=640mm =0.640mI=38×10-3

Q: The bar is now placed on a horizontal, frictionless surface. A constant force of magnitude Fis…

A: Write the given value using suitable variables. Here M1 signifies 1st-rod mass, L1 signifies…

Q: The system shown below consists of a uniform disk D that has a mass of mD=2.8 kg and a radius of r =…

A: Given that, Mass of the disk, mD=2.8 kg,Radius of disk, r=0.5 meters,Angular acceleration of disk,…

Q: 73. AB and CD two uniform and identical bars of mass 10 kg each, as shown in figure. The hinges atA…

A: Given Data m=10kg Hinges A & B are the Frictionless

Q: (c) A spool of mass 60 kg is supported on two rollers at A and B as shown in Figure Q1(c). Neglect…

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Q: The system shown below consists of a uniform disk D that has a mass of mp = 3.0 kg and a radius of r…

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Q: Greek engineers had the unenviable task of moving large columns from the quarries to the city. One…

A: The free-body diagram of the wheel is  Here, W is weight, P is force with which ox pulls, f is…

Q: A 1024-kg blue ball is dropped from an initial z-position of 2.3 x 106 m through the center of a…

A: Mass of blue ball = 1024 kg Distance of ball from centre = 2.3 x 106 m Mass of planet = 33.9 x 1015…

Q: A hollow, smooth cylindrical spool has inner radius R/ 2, outer radius R and mass M. The roller is…

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Q: The system shown below consists of a uniform disk D that has a mass of mp 2.7 kg and a radius of r…

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Q: PROBLEM 3 – In the system shown, a 150 N collar-pulley assembly slides on a horizontal shaft with…

A: Given: The weight of collar, W = 150 N The coefficient of kinetic friction = 0.1 The force, P =…

Q: The system shown below consists of a uniform disk D that has a mass of mp = 3.0 kg and a radius of r…

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Q: Figure below shows a system of pulley and two loads connected through two cables. The two loads have…

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Q: Part A The 21-kg roll of paper has a radius of gyration k, = 90 mm about an axis passing through…

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Q: A cable is wrapped around the spool's center hub. The mass of the spool is m= 100 kg, the radius…

A: Given:  m= 100 kg r1 = 0.4 m r2 =0.6 m kG = 0.3 m P = 10 N The angular velocity of the spool after 2…

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.