A rod of length L with non-uniform mass distribution is hinged horizontally to a vertical wall from one end. The rod is supported by a rope from the other end as shown in the figure such that the rope makes an angle of 30° with the horizontal. The linear mass density (mass per unit of length) of the rod is A(x)=8Cx"/L where x is the distance from the hinge (x S L) and C is a constant. The unit of C is kg. The distance between point mass m and the hinge is L/2. M 15. What is mass M of the rode? (а) 8C/3 (Ь) 2C (0) С/2 (а) с (e) 2C/3

a horizontal rod (m=5.2 kg) is hinged to a wall at the left end and three forces are acting on the rod as shown in the figure: the force of gravity (mg), a tension force (T), and the force exerted by the hinge (broken into components Fx  and Fy) If theta = 35 degrees, what must T be equal to in order to keep the rod static?

In the figure, a uniform square sign with mass m and edge length L, is hung from a horizontal rod of length d, and negligible mass. A cable is attached to the end of the rod and to a point on the wall at distance d,y above the point where the rod is hinged to the wall. (a) What is the tension in the cable? (b) What is the horizontal component of the force on the rod from the wall? Take the positive direction to be to the right. (c) What is the vertical component of this force? Take the positive direction to be upward. State your answer in terms of the given variables, using g when appropriate. Cable d, Hinge Rod H. Perez DENTIST Study (a) Edit (b) Edit nt Privacy Policy 2000-2020 John Wiley & Sons, Inc. All Rights Reserved. A Division of John Wiley & Sons, Inc. Version 4.24,20.1

A hinged beam, 92.5 kg, is supported by a horizontal cable as in the figure. The length of the cable is 2.00 m and the length of the beam is 3.00 m. Find: (a) the torque produced by gravity on the beam, (b) the tension in the cable, (c) the horizontal and vertical components of the force from the hinge, and (d) the magnitude and direction of the force from the hinge.

Ea- d ms A horizontal L=1.4 m long mb3D12kg uniform bar is hinged on the left end and pulled at the right end by a cable. The cable makes 30° angle with horizontal. A 22 kg store sign is suspended below the bar at d=0.18 m from the right end. Find the magnitude of horizontal hinge force.

The drawing shows a uniform horizontal beam attached to a vertical wall by a frictionless hinge and supported from below at an angle θ = 35o by a brace that is attached to a pin. The beam has a weight of 342 N. Three additional forces keep the beam in equilibrium. The brace applies a force P¯ to the right end of the beam that is directed upward at the angle θ with respect to the horizontal. The hinge applies a force to the left end of the beam that has a horizontal component H¯ and a vertical component V¯. Find the magnitudes of these three forces.

A uniform rod is attached to a wall by a hinge at its base. The rod has mass of 8.0 kg, a length of 1.8 m, is at an angle of 17° above the horizontal, and is held in place by a horizontal cord attached to the other end of the rod and bolted to the wall above the base of the rod. (a) Determine the tension in the cord. N (b) Determine the horizontal and vertical components of the force exerted on the rod by the hinge. FH = N Fv = N

In the figure, one end of a uniform beam of weight 240 N is hinged to a wall; the other end is supported by a wire that makes angles 0 = 30° with both wall and beam. Find (a) the tension in the wire and the (b) horizontal and (c) vertical components of the force of the hinge on the beam. Hinge (a) Number (b) Number (c) Number Units Units Units >

In the figure, one end of a uniform beam of weight 280 N is hinged to a wall; the other end is supported by a wire that makes angles θ = 28° with both wall and beam. Find (a) the tension in the wire and the (b) horizontal and (c) vertical components of the force of the hinge on the beam.