Question

In: Physics

In the figure, a thin horizontal bar AB of negligible weight and length L = 3.2...

In the figure, a thin horizontal bar AB of negligible weight and length L = 3.2 m is hinged to a vertical wall at A and supported at B by a thin wire BC that makes an angle θ = 40° with the horizontal. A block of weight W = 140 N can be moved anywhere along the bar; its position is defined by the distance x = 2.07 m from the wall to its center of mass. Find (a) the tension in the wire, and the (b) horizontal and (c) vertical components of the force on the bar from the hinge at A.

Solutions

Expert Solution


Related Solutions

A thin, uniform bar of length L and mass M is suspended horizontally at rest. It...
A thin, uniform bar of length L and mass M is suspended horizontally at rest. It is suddenly released and, at the same instant, it is struck a sharp blow vertically upwards at one end – the duration of the impulse is negligibly short. (a) Explain the meaning of the equation Fnet = Macom (com stands for center of mass). If we call z the vertical direction, write an equation for zCOM(t), draw a sketch of zCOM(t) vs t, and...
In the figure, a uniform plank, with a length L of 5.23 m and a weight...
In the figure, a uniform plank, with a length L of 5.23 m and a weight of 280 N, rests on the ground and against a frictionless roller at the top of a wall of height h = 1.59 m. The plank remains in equilibrium for any value of θ = 70.0° or more, but slips if θ < 70.0°. Find the coefficient of static friction between the plank and the ground.
Chapter 8 Problem 83: A thin hoop of negligible width is rolling on a horizontal surface...
Chapter 8 Problem 83: A thin hoop of negligible width is rolling on a horizontal surface at speed v when it reaches an incline of angle ?θ. (a) How far up the incline will it go before stopping? (1 point) (b) How long will it be on the incline before it arrives back at the bottom (total time going up and down)? (1 point) (c) The initial speed is 3.0 m/s and the angle is ?=15?θ=15o. Evaluate (a) and (b)...
(a) Show that the length of the broken line satisfies Length(L) ≥ |AB|. (b) Show that...
(a) Show that the length of the broken line satisfies Length(L) ≥ |AB|. (b) Show that L achieves the lower bound Length(L) = |AB| if and only if the vertices V1,...,Vk−1 all lie on the segment AB and appear in that orderonAB,i.e.,theysatisfyVi ∈Vi−1Vi+1 forall1≤i≤k−1.
A rigid, uniform, horizontal bar of mass and length is supported by two identical massless strings. (Figure 1) Both strings are vertical.
A rigid, uniform, horizontal bar of mass and length is supported by two identical massless strings. (Figure 1) Both strings are vertical. String A is attached at a distance d < L/2 from the left end of the bar and is connected to the ceiling; string B is attached to the left end of the bar and is connected to the floor. A small block of mass is supported against gravity by the bar at a distance from the left...
1.(a) Show that the length of the broken line satisfies Length(L) ≥ |AB|. (b) Show that...
1.(a) Show that the length of the broken line satisfies Length(L) ≥ |AB|. (b) Show that L achieves the lower bound Length(L) = |AB| if and only if the vertices V1,...,Vk−1 all lie on the segment AB and appear in that orderonAB,i.e.,theysatisfyVi ∈Vi−1Vi+1 forall1≤i≤k−1.
The figure is an overhead view of a thin uniform rod of length 0.467 m and...
The figure is an overhead view of a thin uniform rod of length 0.467 m and mass M rotating horizontally at angular speed 15.7 rad/s about an axis through its center. A particle of mass M/3 initially attached to one end is ejected from the rod and travels along a path that is perpendicular to the rod at the instant of ejection. If the particle's speed vp is 3.32 m/s greater than the speed of the rod end just after...
A thin string of length L = 3m is pinned at the two ends. Based on...
A thin string of length L = 3m is pinned at the two ends. Based on the material linear density ρ and on the traction force T, it can be assumed that √ T/ρ = 2 m/s. The string is initially straight when, at time t = 0, it is tapped in two narrow intervals (1 − 1/8, 1 + 1/8) and (2 − 1/8, 2 + 1/8) with opposite velocities +1m/s and −1m/s, respectively. i) Derive the field equation...
The thin uniform rod in the figure has length 5.0 m and can pivot about a...
The thin uniform rod in the figure has length 5.0 m and can pivot about a horizontal, frictionless pin through one end. It is released from rest at angle θ = 50° above the horizontal. Use the principle of conservation of energy to determine the angular speed of the rod as it passes through the horizontal position. Assume free-fall acceleration to be equal to 9.83 m/s2.
A metallic wire of length L and diameter d is covered with a very thin isolating...
A metallic wire of length L and diameter d is covered with a very thin isolating layer. The resistivity of the metal is ρ (rho) and the wire has resistance R. When a battery with voltage V is connected to the ends of the wire a current I flows through it. a)Find an equation for the resistivity ρ (rho) in terms of the variables provided. b)For a wire of length 24.5 m and diameter 0.5 mm, calculate the resistivity (in...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT