In Figure (a), a uniform 30.9 kg beam is centered over two rollers. Vertical lines across the beam mark off equal lengths. Two of the lines are centered over the rollers; a 9.55 kg package of tamale is centered over roller B. What are the magnitudes of the forces on the beam from (a) roller A and (b) roller B? The beam is then rolled to the left until the right-hand end is centered over roller B (Figure (b)). What now are the magnitudes of the forces on the beam from (c) roller A and (d) roller B? Next, the beam is rolled
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- The figure below shows a claw hammer being used to pull a nail out of a horizontal board where ? = 27.3°. The mass of the hammer is 1.00 kg. A force of 165 N is exerted horizontally as shown, and the nail does not yet move relative to the board. Assume the force the hammer exerts on the nail is parallel to the nail. A hand uses a hammer to pull a nail out of the ground. The head of the hammer is curved and touches the ground at a single point of contact at the center of the head. The nail in the ground makes an acute angle ? clockwise from the vertical. The nail is hooked in the hammer claw 5.00 cm horizontally to the left of the hammer head's point of contact to the ground. The hand pulls the hammer handle horizontally to the right 30.0 cm above the ground with a force vector F.(a) Find the force exerted by the hammer claws on the nail.magnitude kNdirection ° above the horizontal (b) Find the force exerted by the surface on the point of contact with the hammer head.( î + ĵ)…A uniform barbell has length 1.5 m and mass 60 kg. Your left hand is placed 25 cm to the left of the center, while your right hand is placed 35 cm to the right of the center. What is the magnitude of force exerted by your left hand? 420 N 823 N 343 N 294 N 245 NThree identical coins lie on three corners of a square a = 11.0 cm on a side, as shown in (Figure 1). Determine the x coordinate of the center of gravity of the three coins. Express your answer with the appropriate units. Determine the y coordinate of the center of gravity of the three coins. Express your answer with the appropriate units.
- A 4 m long horizontal uniform beam of mass 20 kg is supported by a wire as shown in the figure. The wire makes an angle of 23 degrees with the beam. Attached to the beam 1.2 m from the wall is a ball with a mass of 48 kg. What is the tension in the string? K 0 (m)A 14.0 m uniform ladder weighing 510 N rests against a frictionless wall. The ladder makes a 59.0°-angle with the horizontal. A. Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 810-N firefighter has climbed 4.10 m along the ladder from the bottom. B. If the ladder is just on the verge of slipping when the firefighter is 9.40 m from the bottom, what is the coefficient of static friction between ladder and ground? C. If oil is spilled on the ground, causing the coefficient of static friction to drop to half the value found in part (b), what is the maximum distance (in m) the firefighter can climb along the ladder from the bottom before the ladder slips?A 1.5 kg block is connected by a rope across a 50-cm-diameter, 2.0 kg pulley, as shown. There is no friction in the axle, but there is friction between the rope and the pulley; the rope doesn’t slip. The weight is accelerating upward at 1.2 m/s2. What is the tension in the rope on the right side of the pulley?
- The experiment you did in lab is repeated, using a uniform metal bar that is 80.0 cm long instead of the meterstick. Since the bar is uniform, its center of gravity is at its center. The new experiment uses different hooks for hanging the masses from the bar, with mhook 5.0 g. As in the experiment you did in lab, X1 = 5.00 cm, m1 300.0 g, and Xp = 25.0 cm. In the 1 new experiment, you make the same measurements as in your lab and plot x versus The line that is the best fit to your data has slope 3800 cm · g. What is the mass of m2 + mhook the bar?When a person stands on tiptoe (a strenuous position), the position of the foot is as shown in Figure a. The total gravitational force on the body, F, is supported by the force n exerted by the floor on the toes of one foot. A mechanical model of the situation is shown in Figure b, where T is the force exerted by the Achilles tendon on the foot and R is the force exerted by the tibia on the foot. Find the values of T, R, and e when F, = n = 675 N. (For e, enter the smaller of the two possible values between 0° and 90°.) Achilles tendon Tibia 15.0° 18.0 cm 25.0 cm T = N R = N Need Help? Read ItWhat is the student’s weight?
- Two children push on opposite sides of a door during play. Both push horizontally and perpendicular to the door. One child pushes with a force of 185 N at a distance of 0.600 m from the hinges, and the second pushes at a distance of 0.400 m. What force (in N) must the second exert to keep the door from moving? Assume friction is negligible.Problem 5: Fr Fm Bone -Muscle 100 30 cm W 4 cm 40 cm A simplified model of a human arm holding a weight is shown on the right. The length of the forearm is 40 cm and it has a mass of 1.7 kg. The bicep muscle is attached 4 cm in from the elbow joint and makes an angle of 73° with the forearm. The weight in the person's hand has a mass of 5 kg. a) What is the magnitude of the force provided by the bicep muscle needed to keep their arm at rest? b) What is the magnitude and direction of the force acting at the elbow (F;) in that same case?A 10 m long board has a mass of 7 kg. The left end of the board is against a wall and it sticks straight out like a boom. A rope is tied 1 m from the right end of the board and makes a 44 degree angle with the boom. A 25 kg box hangs 3 m from the right end. Find the tension in the rope.