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- The 2.00-kg slender rod shown is hanging in a vertical position and is pin-supported at point A. The slender rod is initially at rest until a 1.000-kg block C, strikes it at its end at point B. The block slides on a frictionless surface with a velocity of 3.50 m/s to the right. After the impact, it slides with a velocity of 1.250 m/s to the right, and the bar rotates with an angular velocity, w'. 3.5 m/s с B 1.5 m Answer the following questions given the picture. Please show clear solutions, I want to learn how to solve the problem. 1a. Which of the following gives the correct kinematic relationship relating the final velocity of the center of the rod, v'G, and its angular velocity, w'? A) 1.333 w' B) 0.667 w' C) 1.500 w' D) 0.75 w' 1b. Which of the following gives the closest value of the magnitude of the horizontal impulse at the support at point A? A) 1.125 N-s B) 1.350 N-s C) 0.1180 N-s D) 2.25 N-sarrow_forwardA sphere of radius r and mass m has a linear velocity v0 directed to the left and no angular velocity as it is placed on a belt moving to the right with a constant velocity v1. If after first sliding on the belt the sphere is to have no linear velocity relative to the ground as it starts rolling on the belt without sliding, determine in terms of v1 and the coefficient of kinetic friction µk between the sphere and the belt (a) the required value of v0, (b) the time t1 at which the sphere will start rolling on the belt, (c) the distance the sphere will have moved relative to the ground at time t1.arrow_forwardA bowling ball ( m₁ = 3.00 kg and radius of r = 50.0 mm) which has an angular and linear velocity of 57.1 rad/s and 2.85 m/s, respectively, rolls without sliding and hits a slender Bar B of mass m_2 = 1.00 kg and length L = 0.12 m, which is initially at rest as shown in the following figure. Neglecting the friction between the sphere and the bar, and knowing the coefficient of restitution between the sphere and the bar is 0.2, determine (1) the angular velocity of Bar B immediately after impact, and (2) the linear velocities of sphere A and bar B immediately after impact (and at their centroids).arrow_forward
- The delivery man is trying to push your 36-kg package, initially at rest, towards your house by applying a 140-N force P. inclined as shown, at 18 m above the floor, The coefficient of non-sliding friction between the floor and the package is 05 Immediately after the force P is applied, the refrigerator started to tip without sliding about corner O. G. 0.75 m E W. 1.5 m 1. What quantity is zero at the instant shown below? 3. Which of the following equations summing of moments about O is CORRECT and can be used to solve for the angular acceleration of the package? 24 P(1.8) + 25 P(1.5) – W (0.75) = Iga+ ma(1.25) 25 24 B. P(1.8) + 25 5 P(1.5) – W (0.75) = Iga+ ma(1.25) 24 C. 25 P(1.8) + 5 P(1.5) - W (0.75) = lga+ma(0.75) + 24 ma(1.0) 25 25 P(1.8)+P(1.5) - W (0.75) = Iga + ma(1.25) D. 25 24 4. What is the angular acceleration of the package? 5. What is the frictional force between the package and the floor? 1.8 marrow_forwardTwo disks A and B, of mass m 1 kg each and of radius 10 cm, are placed on a horizontal table. The disk A is launched in translation with a speed of 10 m/s along the y axis, B is at rest. The coefficient of kinetic friction between the disks is 0.5. The line of impact is at an angle of 60° with the x-axis. The moment of inertia of each disk around its center of mass is I = 1₂ = 0.005 kg.m². The coefficient of restitution between the two disks is e=0.6. a) Determine the velocities of the centers of the two disks, just after the impact. b) Calculate the angular velocities of the disks, just after the impact. c) Calculate the energy loss during the impact.arrow_forwardTwo steel balls, each of mass m = 1.84 kg, are welded to a light rod of length L = 545 mm and negligible mass and are initially at rest on a smooth horizontal surface. The distance b = 111 mm. A horizontal force of magnitude F = 27 N is suddenly applied to the rod as shown. Determine (a) the magnitude of the instantaneous acceleration a of the mass center G and (b) the magnitude of the corresponding rate 0 at which the angular velocity of the assembly about G is changing with time. Answers: a= 0 = IN PI 771 m/s² rad/s²arrow_forward
- Two steel balls, each of mass m = 1.84 kg, are welded to a light rod of length L = 545 mm and negligible mass and are initially at rest on a smooth horizontal surface. The distance b = 111 mm. A horizontal force of magnitude F = 27 N is suddenly applied to the rod as shown. Determine (a) the magnitude of the instantaneous acceleration a of the mass center G and (b) the magnitude of the corresponding rate 0 at which the angular velocity of the assembly about G is changing with time. m Answers: a = 0= IN P 77 M m/s² rad/s²arrow_forwardTwo steel balls, each of mass m = 1.84 kg, are welded to a light rod of length L = 545 mm and negligible mass and are initially at rest on a smooth horizontal surface. The distance b= 111 mm. A horizontal force of magnitude F= 27 N is suddenly applied to the rod as shown. Determine (a) the magnitude of the instantaneous acceleration a of the mass center G and (b) the magnitude of the corresponding rate 0 at which the angular velocity of the assembly about G is changing with time. m Answers: a = O = IN 7. 77 M m/s² rad/s²arrow_forwardWhich of the following gives the closest value of the magnitude of the horizontal impulse at the support at point A in N-s? 0.1350 0.1180 2.25 1.125arrow_forward
- A wedge of mass 2m placed on a rough surface, its part AB is circular of radius R. A small block of mass m is released from rest at A. Find minimum value of friction between wedge and ground so that wedge remains at rest. A m smooth R 2m -B rough (A) 3mg mg (В) 5mg (C) 3mg (D)arrow_forwardP.2) When you go bowling, you throw the ball (a uniform sphere of mass m and radius r) so that when it is projected along the lane surface it initially has a linear velocity vo and slips along the surface. Once it touches the surface kinetic friction reduces the velocity of the ball, eventually leads the ball to roll without slip. When the coefficient of kinetie friction between the ball and the surface is 44, determine: (a) the time tro at which the ball will start rolling without slipping, and (b) the linear and angular velocities of the ball at time toll. Hint: v = vo + at w = wo + at 19arrow_forwardcan you answer part a and please accept the mass on the right (2m) as 2.5kg , the one on the left (m) as 6.25 kg. and the radius as 1.9 m .arrow_forward
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