Figure 6-22 shows the cross section of a road cut into the side of a mountain. The solid line AA′ represents a weak bedding plane along which sliding is possible. Block B directly above the highway is separated from uphill rock by a large crack (called a joint ), so that only friction between the block and the bedding plane prevents sliding. The mass of the block is 1.8 × 10 7 kg, the dip angle θ of the bedding plane is 24°, and the coefficient of static friction between block and plane is 0.63. (a) Show that the block will not slide under these circumstances. (b) Next, water seeps into the joint and expands upon freezing, exerting on the block a force F → parallel to AA ′. What minimum value of force magnitude F will trigger a slide down the plane?
Figure 6-22 shows the cross section of a road cut into the side of a mountain. The solid line AA′ represents a weak bedding plane along which sliding is possible. Block B directly above the highway is separated from uphill rock by a large crack (called a joint ), so that only friction between the block and the bedding plane prevents sliding. The mass of the block is 1.8 × 10 7 kg, the dip angle θ of the bedding plane is 24°, and the coefficient of static friction between block and plane is 0.63. (a) Show that the block will not slide under these circumstances. (b) Next, water seeps into the joint and expands upon freezing, exerting on the block a force F → parallel to AA ′. What minimum value of force magnitude F will trigger a slide down the plane?
Figure 6-22 shows the cross section of a road cut into the side of a mountain. The solid line AA′ represents a weak bedding plane along which sliding is possible. Block B directly above the highway is separated from uphill rock by a large crack (called a joint), so that only friction between the block and the bedding plane prevents sliding. The mass of the block is 1.8 × 107 kg, the dip angle θ of the bedding plane is 24°, and the coefficient of static friction between block and plane is 0.63. (a) Show that the block will not slide under these circumstances. (b) Next, water seeps into the joint and expands upon freezing, exerting on the block a force
F
→
parallel to AA′. What minimum value of force magnitude F will trigger a slide down the plane?
Three point-like charges in the attached image are placed at the corners of an equilateral triangle as shown in the figure. Each side of the triangle has a length of 38.0 cm, and the point (C) is located half way between q1 and q3 along the side. Find the magnitude of the electric field at point (C). Let q1 = −2.80 µC, q2 = −3.40 µC, and q3 = −4.50 µC. Thank you.
STRUCTURES I
Homework #1: Force Systems
Name:
TA:
PROBLEM 1
Determine the horizontal and vertical components of
the force in the cable shown.
PROBLEM 2
The horizontal component of force F is 30 lb. What is the
magnitude of force F?
6
10
4
4
F = 600lbs
F = ?
The determined Wile E. Coyote is out once more to try to capture the elusive Road Runner of Loony Tunes fame. The coyote is strapped to a rocket, which provide a constant horizontal acceleration of 15.0 m/s2. The coyote starts off at rest 79.2 m from the edge of a cliff at the instant the roadrunner zips by in the direction of the cliff. If the roadrunner moves with constant speed, find the minimum velocity the roadrunner must have to reach the cliff before the coyote. (proper sig fig)
Applications and Investigations in Earth Science (9th Edition)
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