Let us calculate the torque balance over hindged point of bridge with wall
Center of mass of bridge is at L/2 from the hindged point
Tention at bridge is at distance (L/2) + (L/3) = 5L/6 from hinged point
Torque balance
(m)(g)(L/2) - (T)(sinπ/6)(5L/6) =0
T= 5292 N
Find the tension in the drawbridge cable for the diagram shown. The bridge is horizontal, uniform,...
A uniform drawbridge must be held at a 37 ∘ angle above the horizontal to allow ships to pass underneath. The drawbridge weighs 45,000 N and is 14.0 m long. A cable is connected 3.5 m from the hinge where the bridge pivots (measured along the bridge) and pulls horizontally on the bridge to hold it in place. A)What is the tension in the cable? B)Find the magnitude of the force the hinge exerts on the bridge. C)Find the direction...
A person on horseback is on a drawbridge which is at an angle 𝜃 = 20.0° above the horizontal, as shown in the figure. The center of mass of the person-horse system is d = 1.00 m from the end of the bridge. The bridge is ℓ = 6.99 m long and has a mass of 1,900 kg. A cable is attached to the bridge 5.00 m from the hinge and to a point on the wall h = 12.0 m above the bridge. The mass of person plus horse is 1,100 kg. Assume the bridge is uniform. Note that the drawing...
A uniform drawbridge must be held at a 33.5 ∘∘ angle above the horizontal to allow ships to pass underneath. The drawbridge weighs 44000 NN, is 10.5 mm long, and pivots about a hinge at its lower end. A cable is connected 3.80 mm from the hinge, as measured along the bridge, and pulls horizontally on the bridge to hold it in place. A. What is the tension in the cable? B. Find the magnitude of the force the hinge...
last two please A uniform drawbridge must be held at a 37 degree angle above the horizontal to allow ships to pass underneath. The drawbridge weighs 45,000 N and is 14.0 m long. A cable is connected 3.5 m from the hinge where the bridge pivots (measured along the bridge) and pulls horizontally on the bridge to hold it in place. Find the direction of the force the hinge exerts on the bridge. If the cable suddenly breaks, what is...
Determine : A.The magnitude of the tension T in the cable .Units :N B.The horizontal component of the reaction force at the hinge of the bridge .Units :N C.The vertical component of the reaction force at the hinge of the bridge .Units :N D. How much force does a child have to apply to keep a beach ball of 23 cm radius submerged below surface of a swimming pool ?? Course search A cement mixer drives onto a drawbridge just...
b Write an expression for the tension T in the horizontal cable AB 25% Part (c) Write an expression for the x-component Px of the force exerted by the pivot on the beam, in terms of T. 25% Part (d) What is the tension in the horizontal cable, in newtons, if the mass of the beam is 34 kg, the length of the beam is 11 m, and the angle is 28°? A uniform beam of length L and mass...
Sir Lost-a-Lot dons his armor and sets out from the castle on his trusty steed (see figure below). Usually, the drawbridge is lowed to a horizontal position so that the end of the bridge rests on the stone ledge. Unfortunately, Lost-a-Lot's squire didn't lower the drawbridge far enough and stopped it at θ = 20.0° above the horizontal. The knight and his horse stop when their combined center of mass is d = 1.00 m from the end of the...
This is the diagram that was provided. 3. It can be shown that the rotational inertia (moment of inertia) for a uniform rod about an axis that's perpendicular to the rod and passes through one of its ends is: Where M is the rod's total mass and L is its total length. (a) (10 points) Use the Parallel Axis Theorem to find the moment of inertia of a uniform rod about an axis that's perpendicular to the rod and passes...
Problem 5: 20 points A loaded cement mixer truck drives onto an old drawbridge (length = 40m and Mbridge = 18,000kg) where it stalls with the truck's center of gravity three quarters of the way across the span. The truck sets its brakes such that it won't move and the bridge is raised by means of a cable attached at the end of the bridge. The truck (and driver) have a mass of mtruck = 30,000kg. When the bridge has...