86 A wooden trapdoor is hinged along one side and, Which force will rebalance the b when closed, is supported on the other side by a ledge. \[ H=r \times d \] C \( 45 \mathrm{~N} \) acting downward: ??? D \( 90 \mathrm{~N} \) acting downwar of the midpoint 10 A student finds the centr lamina PQR. When the trapdoor is closed, the ledge exerts an He drills a small hole upward force of \( 15 \mathrm{~N} \) on the trapdoor. The lamina trom a pin throus lamina swings treely. gravitational field strength is \( 10 \mathrm{~N} / \mathrm{kg} \). trom the pin at \( \mathbf{Q} \). What is the mass of the trapdoor? position of the plumb- A \( 1.5 \mathrm{~kg} \) (B) \( 3.0 \mathrm{~kg} \) C \( 30 \mathrm{~kg} \) D \( 150 \mathrm{~kg} \) J10/1/
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A uniform trapdoor shown below is 1.0 m by 1.5 m and weighs 300 N. It is supported by a single hinge (H), and by a light rope tied between the middle of the door and the floor. The door is held at the position shown, where its slab makes a $30^{\circ}$ angle with the horizontal floor and the rope makes a $20^{\circ}$ angle with the floor. Find the tension in the rope and the force at the hinge.
The Farmyard Gate. A gate 4.00 $\mathrm{m}$ wide and 2.00 $\mathrm{m}$ high weighs 500 $\mathrm{N}$ . Its center of gravity is at its center, and it is hinged at $A$ and $B .$ To relieve the strain on the top hinge, a wire $C D$ is connected as shown in Fig. Pll. $77 .$ The tension in $C D$ is increased until the horizontal force at hinge $A$ is zero. (a) What is the tension in the wire $C D ?$ (b) What is the magnitude of the horizontal component of the force at hinge $B ?$ (c) What is the combined vertical force exerted by hinges $A$ and $B ?$
A uniform 300 -N trapdoor in a floor is hinged at one side. Find the net upward force needed to begin to open it and the total force exerted on the door by the hinges (a) if the upward force is applied at the center and (b) if the upward force is applied at the center of the edge opposite the hinges.
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