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- A uniform horizontal pipe weighing 10 kg and 1.5 m long is used as a lever. If you need to balance two objects (one on each end), where should the fulcrum be placed? The objects weigh 25 kg and 52 kg. What is the reaction force exerted by the support on the pipe? Draw the complete diagram to describe your final answer (include the lengths).The figure at right shows a child’s toy. This toy takes the form of a cylinder mounted on top of a hemisphere, of total mass M. The radius of the hemisphere is R, and the CM of the toy is a height h above the floor when the toy is vertical. Assume that the cylinder and the hemisphere have the same density. In terms of R, what is the maximumthickness d of the cylinder for which the toy will remain stable?The hanging mobile pictured above consists of two masses, m1 and m2, suspended from a uniform 10 cm long rod, which is in turn suspended from the ceiling at an angle of 70 as pictured above. The mass m1 is 0.02 kg, while the mass of the rod is mr = 0.01 kg. Assuming the mobile is in a state of static equilibrium, find the value of mass m2.
- . The small piston of a hydraulic lift (g. 1) has a cross-sectional area of 3.00cm2, and its large piston has a cross-sectional area of 200cm2. What downward force of magnitude F1 must be applied to the small piston for the lift to raise a load whose weight is Fg = 15.0kN?A ball of mass mand radius Rrests at the edge of a step barrier of height has shown in thefigure. There is a horizontal force Tapplied to the ball from its top through a string wrapped around the ball to lift it above the barrier as shown in the figure. What is the minimum tension required to begin to lift the ball off the ground? (g = 9.8 m/s2, m = 1 kg, R = 0.5 m, h = 0.2 m).An athlete of 60 kg and 1.70 m tall performs the ring exercise called "the Christ", in which he keeps his body immobile with his arms extended horizontally as shown in Fig.-Prob.17(a). The angle with the vertical of the cords from which the rings hang is theta = 10. (a) Determine the tension T in the cords holding the rings. (b) Considering each arm of the athlete as a rigid horizontal bar subjected to the forces indicated in Fig.-Prob.17(b), calculate the value of the components RX and RY, the value of the reaction “R” and of the beta angle.- W is the weight of the arm, applied in the middle of its length.- R is the reaction at the shoulder joint O.- RX and RY are the horizontal and vertical components respectively of the reactionapplied at the shoulder joint O.- Note: Consider that the mass of each arm of the athlete is 3% of the total mass, and thatthe length of the arm is equal to 35% of its height. Fig.-Prob.17(a): Man performing the position of "The Christ"Fig.-Prob.17(b):…
- Complete solution with free body diagram.A uniform pole of 2.5m length and 4.0kg mass is suspended horizontally fromthe side of a building where it is affixed with a hinge. It is held in place by awire that extends from the unattached end of the pole at an angle of 53 degrees andattached firmly to the wall. A 10.0kg mass is hanging from the end of the poleas well under the influence of gravity.a. Draw a picture of the situation.b. Draw a comprehensive free body diagram showing the force on the wire,the mass, the pole, and both the horizontal and vertical forces on thehinge.c. Use the hinge as the axis of rotation and balance the vertical torques anddetermine the tension in the wire.d. Use inertial dynamics to find the horizontal and vertical forces on thehinge.A rock is attached to the left end of a uniform meter stick that has the same mass as the rock. In order for the combination of rock and meter stick to balance atop the triangular object in Fig., how far from the left end of the stick should the triangular object be placed? (i) Less than 0.25 m; (ii) 0.25 m; (iii) between 0.25 m and 0.50 m; (iv) 0.50 m; (v) more than 0.50 m.
- 3. The tasty fish pictured above has a mass of 1100 kg and is hanging from a cable attached via a 4 m long, 600 kg beam that can pivot at its base to a 6 m tall pole. The center of mass of the beam is at a point 1/3 of the way between its base and end. Find the tension in the cable between the beam and the pole.The small piston of a hydraulic lift has a cross-sectional area of 3.00cm^2,and its large piston has a cross-sectional area of 200cm^2.What downward force of magnitude F1 must be applied to the small piston for the lift to raise a load whose weight is Fg= 15.0kN?A mass of M-kg and length L meters is connected to a wall by a hinge and is free to rotate. There is a weightless horizontal cable that holds the beam at an angle (theta). Determine in equation form with M,L, theta, and g A) the tension in the cable b) x and y component of the reaction force at the hinge